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Finding the Fourth Proportional to 161,503.20, 242,105.76 and 86,675.76

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Solution

The fourth proportional to 161,503.20, 242,105.76 and 86,675.76 is: 129,933.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,503.20 : 242,105.76 = 86,675.76 : x
  2. Step 2: Convert to fraction form
    161,503.20/242,105.76 = 86,675.76/x
  3. Step 3: Cross multiply
    161,503.20x = 242,105.76 × 86,675.76
  4. Step 4: Simplify right side
    161,503.20x = 20,984,700,748.38
  5. Step 5: Solve for x
    x = 20,984,700,748.38/161,503.20
  6. Step 6: Final answer
    x = 129,933.65

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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.