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Finding the Fourth Proportional to 161,729.20, 242,593.80 and 102,388.60

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Solution

The fourth proportional to 161,729.20, 242,593.80 and 102,388.60 is: 153,582.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,729.20 : 242,593.80 = 102,388.60 : x
  2. Step 2: Convert to fraction form
    161,729.20/242,593.80 = 102,388.60/x
  3. Step 3: Cross multiply
    161,729.20x = 242,593.80 × 102,388.60
  4. Step 4: Simplify right side
    161,729.20x = 24,838,839,550.68
  5. Step 5: Solve for x
    x = 24,838,839,550.68/161,729.20
  6. Step 6: Final answer
    x = 153,582.90

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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.