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Finding the Fourth Proportional to 108,565.20, 162,502.20 and 77,461.20

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Solution

The fourth proportional to 108,565.20, 162,502.20 and 77,461.20 is: 115,945.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,565.20 : 162,502.20 = 77,461.20 : x
  2. Step 2: Convert to fraction form
    108,565.20/162,502.20 = 77,461.20/x
  3. Step 3: Cross multiply
    108,565.20x = 162,502.20 × 77,461.20
  4. Step 4: Simplify right side
    108,565.20x = 12,587,615,414.64
  5. Step 5: Solve for x
    x = 12,587,615,414.64/108,565.20
  6. Step 6: Final answer
    x = 115,945.21

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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.