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Finding the Fourth Proportional to 90,000.30, 135,000.45 and 84,816.30

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Solution

The fourth proportional to 90,000.30, 135,000.45 and 84,816.30 is: 127,224.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,000.30 : 135,000.45 = 84,816.30 : x
  2. Step 2: Convert to fraction form
    90,000.30/135,000.45 = 84,816.30/x
  3. Step 3: Cross multiply
    90,000.30x = 135,000.45 × 84,816.30
  4. Step 4: Simplify right side
    90,000.30x = 11,450,238,667.34
  5. Step 5: Solve for x
    x = 11,450,238,667.34/90,000.30
  6. Step 6: Final answer
    x = 127,224.45

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Half scale
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Double scale
Find fourth proportional to 90,001.30, 135,001.95 and 84,817.30
Similar ratio
Find fourth proportional to 135,000.45, 202,500.68 and 127,224.45
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.