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Finding the Fourth Proportional to 71,642.42, 98,867.43 and 39,380.56

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Solution

The fourth proportional to 71,642.42, 98,867.43 and 39,380.56 is: 54,345.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,642.42 : 98,867.43 = 39,380.56 : x
  2. Step 2: Convert to fraction form
    71,642.42/98,867.43 = 39,380.56/x
  3. Step 3: Cross multiply
    71,642.42x = 98,867.43 × 39,380.56
  4. Step 4: Simplify right side
    71,642.42x = 3,893,454,759.16
  5. Step 5: Solve for x
    x = 3,893,454,759.16/71,642.42
  6. Step 6: Final answer
    x = 54,345.66

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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.