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Finding the Fourth Proportional to 71,716.32, 98,966.28 and 39,450.78

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Solution

The fourth proportional to 71,716.32, 98,966.28 and 39,450.78 is: 54,440.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,716.32 : 98,966.28 = 39,450.78 : x
  2. Step 2: Convert to fraction form
    71,716.32/98,966.28 = 39,450.78/x
  3. Step 3: Cross multiply
    71,716.32x = 98,966.28 × 39,450.78
  4. Step 4: Simplify right side
    71,716.32x = 3,904,296,939.70
  5. Step 5: Solve for x
    x = 3,904,296,939.70/71,716.32
  6. Step 6: Final answer
    x = 54,440.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.