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Finding the Fourth Proportional to 102,027.20, 153,040.80 and 82,344.20

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Solution

The fourth proportional to 102,027.20, 153,040.80 and 82,344.20 is: 123,516.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,027.20 : 153,040.80 = 82,344.20 : x
  2. Step 2: Convert to fraction form
    102,027.20/153,040.80 = 82,344.20/x
  3. Step 3: Cross multiply
    102,027.20x = 153,040.80 × 82,344.20
  4. Step 4: Simplify right side
    102,027.20x = 12,602,022,243.36
  5. Step 5: Solve for x
    x = 12,602,022,243.36/102,027.20
  6. Step 6: Final answer
    x = 123,516.30

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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.