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Finding the Fourth Proportional to 120,663.14, 166,472.08 and 75,323.90

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Solution

The fourth proportional to 120,663.14, 166,472.08 and 75,323.90 is: 103,920.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,663.14 : 166,472.08 = 75,323.90 : x
  2. Step 2: Convert to fraction form
    120,663.14/166,472.08 = 75,323.90/x
  3. Step 3: Cross multiply
    120,663.14x = 166,472.08 × 75,323.90
  4. Step 4: Simplify right side
    120,663.14x = 12,539,326,534.58
  5. Step 5: Solve for x
    x = 12,539,326,534.58/120,663.14
  6. Step 6: Final answer
    x = 103,920.11

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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.