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Finding the Fourth Proportional to 85,218.48, 117,605.52 and 47,493

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Solution

The fourth proportional to 85,218.48, 117,605.52 and 47,493 is: 65,542.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,218.48 : 117,605.52 = 47,493 : x
  2. Step 2: Convert to fraction form
    85,218.48/117,605.52 = 47,493/x
  3. Step 3: Cross multiply
    85,218.48x = 117,605.52 × 47,493
  4. Step 4: Simplify right side
    85,218.48x = 5,585,438,961.36
  5. Step 5: Solve for x
    x = 5,585,438,961.36/85,218.48
  6. Step 6: Final answer
    x = 65,542.58

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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.