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Finding the Fourth Proportional to 138,632.48, 207,976.80 and 45,113.12

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Solution

The fourth proportional to 138,632.48, 207,976.80 and 45,113.12 is: 67,678.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,632.48 : 207,976.80 = 45,113.12 : x
  2. Step 2: Convert to fraction form
    138,632.48/207,976.80 = 45,113.12/x
  3. Step 3: Cross multiply
    138,632.48x = 207,976.80 × 45,113.12
  4. Step 4: Simplify right side
    138,632.48x = 9,382,482,335.62
  5. Step 5: Solve for x
    x = 9,382,482,335.62/138,632.48
  6. Step 6: Final answer
    x = 67,678.82

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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.