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Finding the Fourth Proportional to 87,013.96, 120,098.58 and 49,309

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Solution

The fourth proportional to 87,013.96, 120,098.58 and 49,309 is: 68,057.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,013.96 : 120,098.58 = 49,309 : x
  2. Step 2: Convert to fraction form
    87,013.96/120,098.58 = 49,309/x
  3. Step 3: Cross multiply
    87,013.96x = 120,098.58 × 49,309
  4. Step 4: Simplify right side
    87,013.96x = 5,921,940,881.22
  5. Step 5: Solve for x
    x = 5,921,940,881.22/87,013.96
  6. Step 6: Final answer
    x = 68,057.37

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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.