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Finding the Fourth Proportional to 138,242.27, 207,399.66 and 43,468.61

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Solution

The fourth proportional to 138,242.27, 207,399.66 and 43,468.61 is: 65,214.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,242.27 : 207,399.66 = 43,468.61 : x
  2. Step 2: Convert to fraction form
    138,242.27/207,399.66 = 43,468.61/x
  3. Step 3: Cross multiply
    138,242.27x = 207,399.66 × 43,468.61
  4. Step 4: Simplify right side
    138,242.27x = 9,015,374,934.67
  5. Step 5: Solve for x
    x = 9,015,374,934.67/138,242.27
  6. Step 6: Final answer
    x = 65,214.31

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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.