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Finding the Fourth Proportional to 159,229.20, 219,731.64 and 87,609.20

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Solution

The fourth proportional to 159,229.20, 219,731.64 and 87,609.20 is: 120,898.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,229.20 : 219,731.64 = 87,609.20 : x
  2. Step 2: Convert to fraction form
    159,229.20/219,731.64 = 87,609.20/x
  3. Step 3: Cross multiply
    159,229.20x = 219,731.64 × 87,609.20
  4. Step 4: Simplify right side
    159,229.20x = 19,250,513,195.09
  5. Step 5: Solve for x
    x = 19,250,513,195.09/159,229.20
  6. Step 6: Final answer
    x = 120,898.13

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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.