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Finding the Fourth Proportional to 281,641.53, 422,488.26 and 92,102.88

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Solution

The fourth proportional to 281,641.53, 422,488.26 and 92,102.88 is: 138,162.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,641.53 : 422,488.26 = 92,102.88 : x
  2. Step 2: Convert to fraction form
    281,641.53/422,488.26 = 92,102.88/x
  3. Step 3: Cross multiply
    281,641.53x = 422,488.26 × 92,102.88
  4. Step 4: Simplify right side
    281,641.53x = 38,912,385,512.19
  5. Step 5: Solve for x
    x = 38,912,385,512.19/281,641.53
  6. Step 6: Final answer
    x = 138,162.81

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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.