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Finding the Fourth Proportional to 83,506.86, 115,239.48 and 45,781.14

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Solution

The fourth proportional to 83,506.86, 115,239.48 and 45,781.14 is: 63,177.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,506.86 : 115,239.48 = 45,781.14 : x
  2. Step 2: Convert to fraction form
    83,506.86/115,239.48 = 45,781.14/x
  3. Step 3: Cross multiply
    83,506.86x = 115,239.48 × 45,781.14
  4. Step 4: Simplify right side
    83,506.86x = 5,275,794,767.41
  5. Step 5: Solve for x
    x = 5,275,794,767.41/83,506.86
  6. Step 6: Final answer
    x = 63,177.98

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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.