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Finding the Fourth Proportional to 138,743.82, 207,940.50 and 115,649.10

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Solution

The fourth proportional to 138,743.82, 207,940.50 and 115,649.10 is: 173,327.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,743.82 : 207,940.50 = 115,649.10 : x
  2. Step 2: Convert to fraction form
    138,743.82/207,940.50 = 115,649.10/x
  3. Step 3: Cross multiply
    138,743.82x = 207,940.50 × 115,649.10
  4. Step 4: Simplify right side
    138,743.82x = 24,048,131,678.55
  5. Step 5: Solve for x
    x = 24,048,131,678.55/138,743.82
  6. Step 6: Final answer
    x = 173,327.59

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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.