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Finding the Fourth Proportional to 281,217.42, 421,889.41 and 89,103.40

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Solution

The fourth proportional to 281,217.42, 421,889.41 and 89,103.40 is: 133,675.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,217.42 : 421,889.41 = 89,103.40 : x
  2. Step 2: Convert to fraction form
    281,217.42/421,889.41 = 89,103.40/x
  3. Step 3: Cross multiply
    281,217.42x = 421,889.41 × 89,103.40
  4. Step 4: Simplify right side
    281,217.42x = 37,591,781,077.75
  5. Step 5: Solve for x
    x = 37,591,781,077.75/281,217.42
  6. Step 6: Final answer
    x = 133,675.15

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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.