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Finding the Fourth Proportional to 138,874.24, 207,901.76 and 86,113.92

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Solution

The fourth proportional to 138,874.24, 207,901.76 and 86,113.92 is: 128,916.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,874.24 : 207,901.76 = 86,113.92 : x
  2. Step 2: Convert to fraction form
    138,874.24/207,901.76 = 86,113.92/x
  3. Step 3: Cross multiply
    138,874.24x = 207,901.76 × 86,113.92
  4. Step 4: Simplify right side
    138,874.24x = 17,903,235,528.50
  5. Step 5: Solve for x
    x = 17,903,235,528.50/138,874.24
  6. Step 6: Final answer
    x = 128,916.89

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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.