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Finding the Fourth Proportional to 138,141.33, 207,212.40 and 113,352.90

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Solution

The fourth proportional to 138,141.33, 207,212.40 and 113,352.90 is: 170,029.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,141.33 : 207,212.40 = 113,352.90 : x
  2. Step 2: Convert to fraction form
    138,141.33/207,212.40 = 113,352.90/x
  3. Step 3: Cross multiply
    138,141.33x = 207,212.40 × 113,352.90
  4. Step 4: Simplify right side
    138,141.33x = 23,488,126,455.96
  5. Step 5: Solve for x
    x = 23,488,126,455.96/138,141.33
  6. Step 6: Final answer
    x = 170,029.68

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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.