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Finding the Fourth Proportional to 138,296.78, 207,092.14 and 110,257.72

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Solution

The fourth proportional to 138,296.78, 207,092.14 and 110,257.72 is: 165,105.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,296.78 : 207,092.14 = 110,257.72 : x
  2. Step 2: Convert to fraction form
    138,296.78/207,092.14 = 110,257.72/x
  3. Step 3: Cross multiply
    138,296.78x = 207,092.14 × 110,257.72
  4. Step 4: Simplify right side
    138,296.78x = 22,833,507,186.32
  5. Step 5: Solve for x
    x = 22,833,507,186.32/138,296.78
  6. Step 6: Final answer
    x = 165,105.13

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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.