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Finding the Fourth Proportional to 120,251.62, 165,920.90 and 71,846.28

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Solution

The fourth proportional to 120,251.62, 165,920.90 and 71,846.28 is: 99,132.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,251.62 : 165,920.90 = 71,846.28 : x
  2. Step 2: Convert to fraction form
    120,251.62/165,920.90 = 71,846.28/x
  3. Step 3: Cross multiply
    120,251.62x = 165,920.90 × 71,846.28
  4. Step 4: Simplify right side
    120,251.62x = 11,920,799,611.63
  5. Step 5: Solve for x
    x = 11,920,799,611.63/120,251.62
  6. Step 6: Final answer
    x = 99,132.13

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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.