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Finding the Fourth Proportional to 120,869.60, 181,131.60 and 89,031.20

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Solution

The fourth proportional to 120,869.60, 181,131.60 and 89,031.20 is: 133,419.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,869.60 : 181,131.60 = 89,031.20 : x
  2. Step 2: Convert to fraction form
    120,869.60/181,131.60 = 89,031.20/x
  3. Step 3: Cross multiply
    120,869.60x = 181,131.60 × 89,031.20
  4. Step 4: Simplify right side
    120,869.60x = 16,126,363,705.92
  5. Step 5: Solve for x
    x = 16,126,363,705.92/120,869.60
  6. Step 6: Final answer
    x = 133,419.52

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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.