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Finding the Fourth Proportional to 71,634.88, 98,857.12 and 39,803.20

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Solution

The fourth proportional to 71,634.88, 98,857.12 and 39,803.20 is: 54,928.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,634.88 : 98,857.12 = 39,803.20 : x
  2. Step 2: Convert to fraction form
    71,634.88/98,857.12 = 39,803.20/x
  3. Step 3: Cross multiply
    71,634.88x = 98,857.12 × 39,803.20
  4. Step 4: Simplify right side
    71,634.88x = 3,934,829,718.78
  5. Step 5: Solve for x
    x = 3,934,829,718.78/71,634.88
  6. Step 6: Final answer
    x = 54,928.96

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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.