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Finding the Fourth Proportional to 90,177.75, 135,288.90 and 27,848.25

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Solution

The fourth proportional to 90,177.75, 135,288.90 and 27,848.25 is: 41,779.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,177.75 : 135,288.90 = 27,848.25 : x
  2. Step 2: Convert to fraction form
    90,177.75/135,288.90 = 27,848.25/x
  3. Step 3: Cross multiply
    90,177.75x = 135,288.90 × 27,848.25
  4. Step 4: Simplify right side
    90,177.75x = 3,767,559,109.43
  5. Step 5: Solve for x
    x = 3,767,559,109.43/90,177.75
  6. Step 6: Final answer
    x = 41,779.25

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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.