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Finding the Fourth Proportional to 138,255.40, 207,331.26 and 59,329

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Solution

The fourth proportional to 138,255.40, 207,331.26 and 59,329 is: 88,971.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,255.40 : 207,331.26 = 59,329 : x
  2. Step 2: Convert to fraction form
    138,255.40/207,331.26 = 59,329/x
  3. Step 3: Cross multiply
    138,255.40x = 207,331.26 × 59,329
  4. Step 4: Simplify right side
    138,255.40x = 12,300,756,324.54
  5. Step 5: Solve for x
    x = 12,300,756,324.54/138,255.40
  6. Step 6: Final answer
    x = 88,971.25

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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.