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Finding the Fourth Proportional to 99,659.72, 137,531.07 and 54,338.46

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Solution

The fourth proportional to 99,659.72, 137,531.07 and 54,338.46 is: 74,987.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,659.72 : 137,531.07 = 54,338.46 : x
  2. Step 2: Convert to fraction form
    99,659.72/137,531.07 = 54,338.46/x
  3. Step 3: Cross multiply
    99,659.72x = 137,531.07 × 54,338.46
  4. Step 4: Simplify right side
    99,659.72x = 7,473,226,545.95
  5. Step 5: Solve for x
    x = 7,473,226,545.95/99,659.72
  6. Step 6: Final answer
    x = 74,987.43

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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.