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Finding the Fourth Proportional to 71,447.73, 107,146.95 and 29,315.85

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Solution

The fourth proportional to 71,447.73, 107,146.95 and 29,315.85 is: 43,963.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,447.73 : 107,146.95 = 29,315.85 : x
  2. Step 2: Convert to fraction form
    71,447.73/107,146.95 = 29,315.85/x
  3. Step 3: Cross multiply
    71,447.73x = 107,146.95 × 29,315.85
  4. Step 4: Simplify right side
    71,447.73x = 3,141,103,914.16
  5. Step 5: Solve for x
    x = 3,141,103,914.16/71,447.73
  6. Step 6: Final answer
    x = 43,963.66

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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.