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Finding the Fourth Proportional to 84,447.68, 126,689.57 and 31,139.79

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Solution

The fourth proportional to 84,447.68, 126,689.57 and 31,139.79 is: 46,716.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,447.68 : 126,689.57 = 31,139.79 : x
  2. Step 2: Convert to fraction form
    84,447.68/126,689.57 = 31,139.79/x
  3. Step 3: Cross multiply
    84,447.68x = 126,689.57 × 31,139.79
  4. Step 4: Simplify right side
    84,447.68x = 3,945,086,449.29
  5. Step 5: Solve for x
    x = 3,945,086,449.29/84,447.68
  6. Step 6: Final answer
    x = 46,716.34

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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.