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Finding the Fourth Proportional to 281,189.88, 421,784.82 and 123,419.70

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Solution

The fourth proportional to 281,189.88, 421,784.82 and 123,419.70 is: 185,129.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,189.88 : 421,784.82 = 123,419.70 : x
  2. Step 2: Convert to fraction form
    281,189.88/421,784.82 = 123,419.70/x
  3. Step 3: Cross multiply
    281,189.88x = 421,784.82 × 123,419.70
  4. Step 4: Simplify right side
    281,189.88x = 52,056,555,948.95
  5. Step 5: Solve for x
    x = 52,056,555,948.95/281,189.88
  6. Step 6: Final answer
    x = 185,129.55

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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.