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Finding the Fourth Proportional to 86,209.20, 129,022.20 and 75,711.60

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Solution

The fourth proportional to 86,209.20, 129,022.20 and 75,711.60 is: 113,311.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,209.20 : 129,022.20 = 75,711.60 : x
  2. Step 2: Convert to fraction form
    86,209.20/129,022.20 = 75,711.60/x
  3. Step 3: Cross multiply
    86,209.20x = 129,022.20 × 75,711.60
  4. Step 4: Simplify right side
    86,209.20x = 9,768,477,197.52
  5. Step 5: Solve for x
    x = 9,768,477,197.52/86,209.20
  6. Step 6: Final answer
    x = 113,311.31

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1.5x scale

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.