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Finding the Fourth Proportional to 99,781.66, 137,701.68 and 54,462.62

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Solution

The fourth proportional to 99,781.66, 137,701.68 and 54,462.62 is: 75,160.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,781.66 : 137,701.68 = 54,462.62 : x
  2. Step 2: Convert to fraction form
    99,781.66/137,701.68 = 54,462.62/x
  3. Step 3: Cross multiply
    99,781.66x = 137,701.68 × 54,462.62
  4. Step 4: Simplify right side
    99,781.66x = 7,499,593,684.81
  5. Step 5: Solve for x
    x = 7,499,593,684.81/99,781.66
  6. Step 6: Final answer
    x = 75,160.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.