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Finding the Fourth Proportional to 84,492.80, 126,739.20 and 76,716.80

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Solution

The fourth proportional to 84,492.80, 126,739.20 and 76,716.80 is: 115,075.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,492.80 : 126,739.20 = 76,716.80 : x
  2. Step 2: Convert to fraction form
    84,492.80/126,739.20 = 76,716.80/x
  3. Step 3: Cross multiply
    84,492.80x = 126,739.20 × 76,716.80
  4. Step 4: Simplify right side
    84,492.80x = 9,723,025,858.56
  5. Step 5: Solve for x
    x = 9,723,025,858.56/84,492.80
  6. Step 6: Final answer
    x = 115,075.20

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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.