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Finding the Fourth Proportional to 138,522.98, 207,796.25 and 43,727.80

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Solution

The fourth proportional to 138,522.98, 207,796.25 and 43,727.80 is: 65,595.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,522.98 : 207,796.25 = 43,727.80 : x
  2. Step 2: Convert to fraction form
    138,522.98/207,796.25 = 43,727.80/x
  3. Step 3: Cross multiply
    138,522.98x = 207,796.25 × 43,727.80
  4. Step 4: Simplify right side
    138,522.98x = 9,086,472,970.07
  5. Step 5: Solve for x
    x = 9,086,472,970.07/138,522.98
  6. Step 6: Final answer
    x = 65,595.42

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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.