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Finding the Fourth Proportional to 120,397.88, 166,150.32 and 72,642

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Solution

The fourth proportional to 120,397.88, 166,150.32 and 72,642 is: 100,246.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,397.88 : 166,150.32 = 72,642 : x
  2. Step 2: Convert to fraction form
    120,397.88/166,150.32 = 72,642/x
  3. Step 3: Cross multiply
    120,397.88x = 166,150.32 × 72,642
  4. Step 4: Simplify right side
    120,397.88x = 12,069,491,545.44
  5. Step 5: Solve for x
    x = 12,069,491,545.44/120,397.88
  6. Step 6: Final answer
    x = 100,246.71

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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.