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Finding the Fourth Proportional to 181,508.30, 272,359.65 and 81,683.90

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Solution

The fourth proportional to 181,508.30, 272,359.65 and 81,683.90 is: 122,569.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,508.30 : 272,359.65 = 81,683.90 : x
  2. Step 2: Convert to fraction form
    181,508.30/272,359.65 = 81,683.90/x
  3. Step 3: Cross multiply
    181,508.30x = 272,359.65 × 81,683.90
  4. Step 4: Simplify right side
    181,508.30x = 22,247,398,414.64
  5. Step 5: Solve for x
    x = 22,247,398,414.64/181,508.30
  6. Step 6: Final answer
    x = 122,569.59

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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.