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Finding the Fourth Proportional to 85,038.92, 127,475.67 and 40,654.16

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Solution

The fourth proportional to 85,038.92, 127,475.67 and 40,654.16 is: 60,941.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,038.92 : 127,475.67 = 40,654.16 : x
  2. Step 2: Convert to fraction form
    85,038.92/127,475.67 = 40,654.16/x
  3. Step 3: Cross multiply
    85,038.92x = 127,475.67 × 40,654.16
  4. Step 4: Simplify right side
    85,038.92x = 5,182,416,284.29
  5. Step 5: Solve for x
    x = 5,182,416,284.29/85,038.92
  6. Step 6: Final answer
    x = 60,941.70

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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.