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Finding the Fourth Proportional to 71,142.91, 106,728.03 and 31,699.91

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Solution

The fourth proportional to 71,142.91, 106,728.03 and 31,699.91 is: 47,555.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,142.91 : 106,728.03 = 31,699.91 : x
  2. Step 2: Convert to fraction form
    71,142.91/106,728.03 = 31,699.91/x
  3. Step 3: Cross multiply
    71,142.91x = 106,728.03 × 31,699.91
  4. Step 4: Simplify right side
    71,142.91x = 3,383,268,611.95
  5. Step 5: Solve for x
    x = 3,383,268,611.95/71,142.91
  6. Step 6: Final answer
    x = 47,555.95

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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.