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Finding the Fourth Proportional to 159,819.30, 217,531.80 and 159,819.30

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Solution

The fourth proportional to 159,819.30, 217,531.80 and 159,819.30 is: 217,531.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,819.30 : 217,531.80 = 159,819.30 : x
  2. Step 2: Convert to fraction form
    159,819.30/217,531.80 = 159,819.30/x
  3. Step 3: Cross multiply
    159,819.30x = 217,531.80 × 159,819.30
  4. Step 4: Simplify right side
    159,819.30x = 34,765,780,003.74
  5. Step 5: Solve for x
    x = 34,765,780,003.74/159,819.30
  6. Step 6: Final answer
    x = 217,531.80

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.