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Finding the Fourth Proportional to 281,641.95, 422,418.78 and 92,100.74

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Solution

The fourth proportional to 281,641.95, 422,418.78 and 92,100.74 is: 138,136.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,641.95 : 422,418.78 = 92,100.74 : x
  2. Step 2: Convert to fraction form
    281,641.95/422,418.78 = 92,100.74/x
  3. Step 3: Cross multiply
    281,641.95x = 422,418.78 × 92,100.74
  4. Step 4: Simplify right side
    281,641.95x = 38,905,080,115.80
  5. Step 5: Solve for x
    x = 38,905,080,115.80/281,641.95
  6. Step 6: Final answer
    x = 138,136.67

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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.