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Finding the Fourth Proportional to 138,771.53, 207,989.67 and 67,587.48

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Solution

The fourth proportional to 138,771.53, 207,989.67 and 67,587.48 is: 101,299.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,771.53 : 207,989.67 = 67,587.48 : x
  2. Step 2: Convert to fraction form
    138,771.53/207,989.67 = 67,587.48/x
  3. Step 3: Cross multiply
    138,771.53x = 207,989.67 × 67,587.48
  4. Step 4: Simplify right side
    138,771.53x = 14,057,497,661.33
  5. Step 5: Solve for x
    x = 14,057,497,661.33/138,771.53
  6. Step 6: Final answer
    x = 101,299.58

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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.