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Finding the Fourth Proportional to 82,931.60, 124,293.72 and 65,331.92

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Solution

The fourth proportional to 82,931.60, 124,293.72 and 65,331.92 is: 97,916.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,931.60 : 124,293.72 = 65,331.92 : x
  2. Step 2: Convert to fraction form
    82,931.60/124,293.72 = 65,331.92/x
  3. Step 3: Cross multiply
    82,931.60x = 124,293.72 × 65,331.92
  4. Step 4: Simplify right side
    82,931.60x = 8,120,347,371.54
  5. Step 5: Solve for x
    x = 8,120,347,371.54/82,931.60
  6. Step 6: Final answer
    x = 97,916.20

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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.