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Finding the Fourth Proportional to 125,989.20, 188,765.10 and 81,593.10

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Solution

The fourth proportional to 125,989.20, 188,765.10 and 81,593.10 is: 122,248.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,989.20 : 188,765.10 = 81,593.10 : x
  2. Step 2: Convert to fraction form
    125,989.20/188,765.10 = 81,593.10/x
  3. Step 3: Cross multiply
    125,989.20x = 188,765.10 × 81,593.10
  4. Step 4: Simplify right side
    125,989.20x = 15,401,929,680.81
  5. Step 5: Solve for x
    x = 15,401,929,680.81/125,989.20
  6. Step 6: Final answer
    x = 122,248.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.