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Finding the Fourth Proportional to 100,174.73, 138,244.42 and 54,854.62

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Solution

The fourth proportional to 100,174.73, 138,244.42 and 54,854.62 is: 75,701.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,174.73 : 138,244.42 = 54,854.62 : x
  2. Step 2: Convert to fraction form
    100,174.73/138,244.42 = 54,854.62/x
  3. Step 3: Cross multiply
    100,174.73x = 138,244.42 × 54,854.62
  4. Step 4: Simplify right side
    100,174.73x = 7,583,344,849.18
  5. Step 5: Solve for x
    x = 7,583,344,849.18/100,174.73
  6. Step 6: Final answer
    x = 75,701.18

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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.