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Finding the Fourth Proportional to 171,498.72, 257,335.80 and 81,642.96

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Solution

The fourth proportional to 171,498.72, 257,335.80 and 81,642.96 is: 122,506.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,498.72 : 257,335.80 = 81,642.96 : x
  2. Step 2: Convert to fraction form
    171,498.72/257,335.80 = 81,642.96/x
  3. Step 3: Cross multiply
    171,498.72x = 257,335.80 × 81,642.96
  4. Step 4: Simplify right side
    171,498.72x = 21,009,656,425.97
  5. Step 5: Solve for x
    x = 21,009,656,425.97/171,498.72
  6. Step 6: Final answer
    x = 122,506.20

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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.