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Finding the Fourth Proportional to 171,531.34, 257,367.48 and 71,712.61

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Solution

The fourth proportional to 171,531.34, 257,367.48 and 71,712.61 is: 107,598.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,531.34 : 257,367.48 = 71,712.61 : x
  2. Step 2: Convert to fraction form
    171,531.34/257,367.48 = 71,712.61/x
  3. Step 3: Cross multiply
    171,531.34x = 257,367.48 × 71,712.61
  4. Step 4: Simplify right side
    171,531.34x = 18,456,493,719.92
  5. Step 5: Solve for x
    x = 18,456,493,719.92/171,531.34
  6. Step 6: Final answer
    x = 107,598.38

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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.