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Finding the Fourth Proportional to 71,642.91, 98,862.67 and 39,809.91

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Solution

The fourth proportional to 71,642.91, 98,862.67 and 39,809.91 is: 54,935.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,642.91 : 98,862.67 = 39,809.91 : x
  2. Step 2: Convert to fraction form
    71,642.91/98,862.67 = 39,809.91/x
  3. Step 3: Cross multiply
    71,642.91x = 98,862.67 × 39,809.91
  4. Step 4: Simplify right side
    71,642.91x = 3,935,713,995.06
  5. Step 5: Solve for x
    x = 3,935,713,995.06/71,642.91
  6. Step 6: Final answer
    x = 54,935.15

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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.