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Finding the Fourth Proportional to 281,123.82, 421,713.27 and 91,575.72

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Solution

The fourth proportional to 281,123.82, 421,713.27 and 91,575.72 is: 137,372.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,123.82 : 421,713.27 = 91,575.72 : x
  2. Step 2: Convert to fraction form
    281,123.82/421,713.27 = 91,575.72/x
  3. Step 3: Cross multiply
    281,123.82x = 421,713.27 × 91,575.72
  4. Step 4: Simplify right side
    281,123.82x = 38,618,696,333.80
  5. Step 5: Solve for x
    x = 38,618,696,333.80/281,123.82
  6. Step 6: Final answer
    x = 137,372.55

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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.