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Finding the Fourth Proportional to 138,597.71, 207,902.43 and 54,350.42

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Solution

The fourth proportional to 138,597.71, 207,902.43 and 54,350.42 is: 81,527.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,597.71 : 207,902.43 = 54,350.42 : x
  2. Step 2: Convert to fraction form
    138,597.71/207,902.43 = 54,350.42/x
  3. Step 3: Cross multiply
    138,597.71x = 207,902.43 × 54,350.42
  4. Step 4: Simplify right side
    138,597.71x = 11,299,583,350.01
  5. Step 5: Solve for x
    x = 11,299,583,350.01/138,597.71
  6. Step 6: Final answer
    x = 81,527.93

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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.