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Finding the Fourth Proportional to 159,213.17, 219,714.17 and 87,591.65

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Solution

The fourth proportional to 159,213.17, 219,714.17 and 87,591.65 is: 120,876.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,213.17 : 219,714.17 = 87,591.65 : x
  2. Step 2: Convert to fraction form
    159,213.17/219,714.17 = 87,591.65/x
  3. Step 3: Cross multiply
    159,213.17x = 219,714.17 × 87,591.65
  4. Step 4: Simplify right side
    159,213.17x = 19,245,125,142.15
  5. Step 5: Solve for x
    x = 19,245,125,142.15/159,213.17
  6. Step 6: Final answer
    x = 120,876.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.