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Finding the Fourth Proportional to 218,049.20, 326,830.80 and 84,885.20

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Solution

The fourth proportional to 218,049.20, 326,830.80 and 84,885.20 is: 127,233.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,049.20 : 326,830.80 = 84,885.20 : x
  2. Step 2: Convert to fraction form
    218,049.20/326,830.80 = 84,885.20/x
  3. Step 3: Cross multiply
    218,049.20x = 326,830.80 × 84,885.20
  4. Step 4: Simplify right side
    218,049.20x = 27,743,097,824.16
  5. Step 5: Solve for x
    x = 27,743,097,824.16/218,049.20
  6. Step 6: Final answer
    x = 127,233.20

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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.