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Finding the Fourth Proportional to 281,123.92, 421,685.36 and 91,584.06

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Solution

The fourth proportional to 281,123.92, 421,685.36 and 91,584.06 is: 137,375.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,123.92 : 421,685.36 = 91,584.06 : x
  2. Step 2: Convert to fraction form
    281,123.92/421,685.36 = 91,584.06/x
  3. Step 3: Cross multiply
    281,123.92x = 421,685.36 × 91,584.06
  4. Step 4: Simplify right side
    281,123.92x = 38,619,657,540.32
  5. Step 5: Solve for x
    x = 38,619,657,540.32/281,123.92
  6. Step 6: Final answer
    x = 137,375.92

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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.