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Finding the Fourth Proportional to 138,098.93, 207,148.41 and 43,343.73

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Solution

The fourth proportional to 138,098.93, 207,148.41 and 43,343.73 is: 65,015.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,098.93 : 207,148.41 = 43,343.73 : x
  2. Step 2: Convert to fraction form
    138,098.93/207,148.41 = 43,343.73/x
  3. Step 3: Cross multiply
    138,098.93x = 207,148.41 × 43,343.73
  4. Step 4: Simplify right side
    138,098.93x = 8,978,584,752.97
  5. Step 5: Solve for x
    x = 8,978,584,752.97/138,098.93
  6. Step 6: Final answer
    x = 65,015.60

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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.