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Finding the Fourth Proportional to 171,999.40, 257,999.10 and 83,425.90

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Solution

The fourth proportional to 171,999.40, 257,999.10 and 83,425.90 is: 125,138.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,999.40 : 257,999.10 = 83,425.90 : x
  2. Step 2: Convert to fraction form
    171,999.40/257,999.10 = 83,425.90/x
  3. Step 3: Cross multiply
    171,999.40x = 257,999.10 × 83,425.90
  4. Step 4: Simplify right side
    171,999.40x = 21,523,807,116.69
  5. Step 5: Solve for x
    x = 21,523,807,116.69/171,999.40
  6. Step 6: Final answer
    x = 125,138.85

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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.