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Finding the Fourth Proportional to 99,761.85, 137,674.28 and 54,442.76

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Solution

The fourth proportional to 99,761.85, 137,674.28 and 54,442.76 is: 75,132.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,761.85 : 137,674.28 = 54,442.76 : x
  2. Step 2: Convert to fraction form
    99,761.85/137,674.28 = 54,442.76/x
  3. Step 3: Cross multiply
    99,761.85x = 137,674.28 × 54,442.76
  4. Step 4: Simplify right side
    99,761.85x = 7,495,367,167.81
  5. Step 5: Solve for x
    x = 7,495,367,167.81/99,761.85
  6. Step 6: Final answer
    x = 75,132.60

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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.