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Finding the Fourth Proportional to 71,682.48, 98,927.88 and 39,857.52

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Solution

The fourth proportional to 71,682.48, 98,927.88 and 39,857.52 is: 55,006.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,682.48 : 98,927.88 = 39,857.52 : x
  2. Step 2: Convert to fraction form
    71,682.48/98,927.88 = 39,857.52/x
  3. Step 3: Cross multiply
    71,682.48x = 98,927.88 × 39,857.52
  4. Step 4: Simplify right side
    71,682.48x = 3,943,019,955.66
  5. Step 5: Solve for x
    x = 3,943,019,955.66/71,682.48
  6. Step 6: Final answer
    x = 55,006.75

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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.