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Finding the Fourth Proportional to 138,241.27, 207,398.16 and 43,467.61

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Solution

The fourth proportional to 138,241.27, 207,398.16 and 43,467.61 is: 65,212.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,241.27 : 207,398.16 = 43,467.61 : x
  2. Step 2: Convert to fraction form
    138,241.27/207,398.16 = 43,467.61/x
  3. Step 3: Cross multiply
    138,241.27x = 207,398.16 × 43,467.61
  4. Step 4: Simplify right side
    138,241.27x = 9,015,102,333.60
  5. Step 5: Solve for x
    x = 9,015,102,333.60/138,241.27
  6. Step 6: Final answer
    x = 65,212.81

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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.