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Finding the Fourth Proportional to 229,402.15, 344,024.79 and 87,213.13

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Solution

The fourth proportional to 229,402.15, 344,024.79 and 87,213.13 is: 130,789.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,402.15 : 344,024.79 = 87,213.13 : x
  2. Step 2: Convert to fraction form
    229,402.15/344,024.79 = 87,213.13/x
  3. Step 3: Cross multiply
    229,402.15x = 344,024.79 × 87,213.13
  4. Step 4: Simplify right side
    229,402.15x = 30,003,480,217.38
  5. Step 5: Solve for x
    x = 30,003,480,217.38/229,402.15
  6. Step 6: Final answer
    x = 130,789.88

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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.