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Finding the Fourth Proportional to 138,470.40, 207,682.56 and 44,964.48

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Solution

The fourth proportional to 138,470.40, 207,682.56 and 44,964.48 is: 67,439.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,470.40 : 207,682.56 = 44,964.48 : x
  2. Step 2: Convert to fraction form
    138,470.40/207,682.56 = 44,964.48/x
  3. Step 3: Cross multiply
    138,470.40x = 207,682.56 × 44,964.48
  4. Step 4: Simplify right side
    138,470.40x = 9,338,338,315.47
  5. Step 5: Solve for x
    x = 9,338,338,315.47/138,470.40
  6. Step 6: Final answer
    x = 67,439.24

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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.