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Finding the Fourth Proportional to 71,564.68, 98,754.69 and 39,733.57

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Solution

The fourth proportional to 71,564.68, 98,754.69 and 39,733.57 is: 54,829.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,564.68 : 98,754.69 = 39,733.57 : x
  2. Step 2: Convert to fraction form
    71,564.68/98,754.69 = 39,733.57/x
  3. Step 3: Cross multiply
    71,564.68x = 98,754.69 × 39,733.57
  4. Step 4: Simplify right side
    71,564.68x = 3,923,876,387.94
  5. Step 5: Solve for x
    x = 3,923,876,387.94/71,564.68
  6. Step 6: Final answer
    x = 54,829.79

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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.