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Finding the Fourth Proportional to 281,049.98, 421,367.20 and 145,920.04

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Solution

The fourth proportional to 281,049.98, 421,367.20 and 145,920.04 is: 218,772.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,049.98 : 421,367.20 = 145,920.04 : x
  2. Step 2: Convert to fraction form
    281,049.98/421,367.20 = 145,920.04/x
  3. Step 3: Cross multiply
    281,049.98x = 421,367.20 × 145,920.04
  4. Step 4: Simplify right side
    281,049.98x = 61,485,917,260.47
  5. Step 5: Solve for x
    x = 61,485,917,260.47/281,049.98
  6. Step 6: Final answer
    x = 218,772.19

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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.