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Finding the Fourth Proportional to 218,332.80, 327,649.60 and 76,178.88

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Solution

The fourth proportional to 218,332.80, 327,649.60 and 76,178.88 is: 114,320.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,332.80 : 327,649.60 = 76,178.88 : x
  2. Step 2: Convert to fraction form
    218,332.80/327,649.60 = 76,178.88/x
  3. Step 3: Cross multiply
    218,332.80x = 327,649.60 × 76,178.88
  4. Step 4: Simplify right side
    218,332.80x = 24,959,979,560.45
  5. Step 5: Solve for x
    x = 24,959,979,560.45/218,332.80
  6. Step 6: Final answer
    x = 114,320.80

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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.