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Finding the Fourth Proportional to 71,696.64, 107,474.76 and 40,122.12

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Solution

The fourth proportional to 71,696.64, 107,474.76 and 40,122.12 is: 60,143.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,696.64 : 107,474.76 = 40,122.12 : x
  2. Step 2: Convert to fraction form
    71,696.64/107,474.76 = 40,122.12/x
  3. Step 3: Cross multiply
    71,696.64x = 107,474.76 × 40,122.12
  4. Step 4: Simplify right side
    71,696.64x = 4,312,115,217.69
  5. Step 5: Solve for x
    x = 4,312,115,217.69/71,696.64
  6. Step 6: Final answer
    x = 60,143.90

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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.