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Finding the Fourth Proportional to 120,400.88, 166,154.46 and 72,645

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Solution

The fourth proportional to 120,400.88, 166,154.46 and 72,645 is: 100,250.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,400.88 : 166,154.46 = 72,645 : x
  2. Step 2: Convert to fraction form
    120,400.88/166,154.46 = 72,645/x
  3. Step 3: Cross multiply
    120,400.88x = 166,154.46 × 72,645
  4. Step 4: Simplify right side
    120,400.88x = 12,070,290,746.70
  5. Step 5: Solve for x
    x = 12,070,290,746.70/120,400.88
  6. Step 6: Final answer
    x = 100,250.85

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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.