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Finding the Fourth Proportional to 91,841.60, 137,747.28 and 85,864.16

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Solution

The fourth proportional to 91,841.60, 137,747.28 and 85,864.16 is: 128,782.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,841.60 : 137,747.28 = 85,864.16 : x
  2. Step 2: Convert to fraction form
    91,841.60/137,747.28 = 85,864.16/x
  3. Step 3: Cross multiply
    91,841.60x = 137,747.28 × 85,864.16
  4. Step 4: Simplify right side
    91,841.60x = 11,827,554,489.48
  5. Step 5: Solve for x
    x = 11,827,554,489.48/91,841.60
  6. Step 6: Final answer
    x = 128,782.10

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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.