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Finding the Fourth Proportional to 86,514.60, 129,966.30 and 83,209.80

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Solution

The fourth proportional to 86,514.60, 129,966.30 and 83,209.80 is: 125,001.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,514.60 : 129,966.30 = 83,209.80 : x
  2. Step 2: Convert to fraction form
    86,514.60/129,966.30 = 83,209.80/x
  3. Step 3: Cross multiply
    86,514.60x = 129,966.30 × 83,209.80
  4. Step 4: Simplify right side
    86,514.60x = 10,814,469,829.74
  5. Step 5: Solve for x
    x = 10,814,469,829.74/86,514.60
  6. Step 6: Final answer
    x = 125,001.67

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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.