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Finding the Fourth Proportional to 84,169.80, 126,323.55 and 83,513.70

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Solution

The fourth proportional to 84,169.80, 126,323.55 and 83,513.70 is: 125,338.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,169.80 : 126,323.55 = 83,513.70 : x
  2. Step 2: Convert to fraction form
    84,169.80/126,323.55 = 83,513.70/x
  3. Step 3: Cross multiply
    84,169.80x = 126,323.55 × 83,513.70
  4. Step 4: Simplify right side
    84,169.80x = 10,549,747,057.64
  5. Step 5: Solve for x
    x = 10,549,747,057.64/84,169.80
  6. Step 6: Final answer
    x = 125,338.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.