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Finding the Fourth Proportional to 83,399.80, 115,080.67 and 47,587.68

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Solution

The fourth proportional to 83,399.80, 115,080.67 and 47,587.68 is: 65,664.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,399.80 : 115,080.67 = 47,587.68 : x
  2. Step 2: Convert to fraction form
    83,399.80/115,080.67 = 47,587.68/x
  3. Step 3: Cross multiply
    83,399.80x = 115,080.67 × 47,587.68
  4. Step 4: Simplify right side
    83,399.80x = 5,476,422,098.15
  5. Step 5: Solve for x
    x = 5,476,422,098.15/83,399.80
  6. Step 6: Final answer
    x = 65,664.69

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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.