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Finding the Fourth Proportional to 138,752.20, 207,836.70 and 115,424.20

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Solution

The fourth proportional to 138,752.20, 207,836.70 and 115,424.20 is: 172,893.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,752.20 : 207,836.70 = 115,424.20 : x
  2. Step 2: Convert to fraction form
    138,752.20/207,836.70 = 115,424.20/x
  3. Step 3: Cross multiply
    138,752.20x = 207,836.70 × 115,424.20
  4. Step 4: Simplify right side
    138,752.20x = 23,989,384,828.14
  5. Step 5: Solve for x
    x = 23,989,384,828.14/138,752.20
  6. Step 6: Final answer
    x = 172,893.73

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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.