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Finding the Fourth Proportional to 80,764.80, 121,147.20 and 51,313.20

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Solution

The fourth proportional to 80,764.80, 121,147.20 and 51,313.20 is: 76,969.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,764.80 : 121,147.20 = 51,313.20 : x
  2. Step 2: Convert to fraction form
    80,764.80/121,147.20 = 51,313.20/x
  3. Step 3: Cross multiply
    80,764.80x = 121,147.20 × 51,313.20
  4. Step 4: Simplify right side
    80,764.80x = 6,216,450,503.04
  5. Step 5: Solve for x
    x = 6,216,450,503.04/80,764.80
  6. Step 6: Final answer
    x = 76,969.80

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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.