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Finding the Fourth Proportional to 85,882.39, 118,524 and 47,647.96

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Solution

The fourth proportional to 85,882.39, 118,524 and 47,647.96 is: 65,757.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,882.39 : 118,524 = 47,647.96 : x
  2. Step 2: Convert to fraction form
    85,882.39/118,524 = 47,647.96/x
  3. Step 3: Cross multiply
    85,882.39x = 118,524 × 47,647.96
  4. Step 4: Simplify right side
    85,882.39x = 5,647,426,811.04
  5. Step 5: Solve for x
    x = 5,647,426,811.04/85,882.39
  6. Step 6: Final answer
    x = 65,757.68

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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.