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Finding the Fourth Proportional to 171,677.10, 257,515.65 and 115,689.90

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Solution

The fourth proportional to 171,677.10, 257,515.65 and 115,689.90 is: 173,534.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,677.10 : 257,515.65 = 115,689.90 : x
  2. Step 2: Convert to fraction form
    171,677.10/257,515.65 = 115,689.90/x
  3. Step 3: Cross multiply
    171,677.10x = 257,515.65 × 115,689.90
  4. Step 4: Simplify right side
    171,677.10x = 29,791,959,796.94
  5. Step 5: Solve for x
    x = 29,791,959,796.94/171,677.10
  6. Step 6: Final answer
    x = 173,534.85

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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.