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Finding the Fourth Proportional to 218,820.02, 328,229.76 and 78,578.78

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Solution

The fourth proportional to 218,820.02, 328,229.76 and 78,578.78 is: 117,868.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,820.02 : 328,229.76 = 78,578.78 : x
  2. Step 2: Convert to fraction form
    218,820.02/328,229.76 = 78,578.78/x
  3. Step 3: Cross multiply
    218,820.02x = 328,229.76 × 78,578.78
  4. Step 4: Simplify right side
    218,820.02x = 25,791,894,100.49
  5. Step 5: Solve for x
    x = 25,791,894,100.49/218,820.02
  6. Step 6: Final answer
    x = 117,868.07

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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.