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Finding the Fourth Proportional to 281,257.76, 421,839.60 and 123,443.84

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Solution

The fourth proportional to 281,257.76, 421,839.60 and 123,443.84 is: 185,145.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,257.76 : 421,839.60 = 123,443.84 : x
  2. Step 2: Convert to fraction form
    281,257.76/421,839.60 = 123,443.84/x
  3. Step 3: Cross multiply
    281,257.76x = 421,839.60 × 123,443.84
  4. Step 4: Simplify right side
    281,257.76x = 52,073,500,088.06
  5. Step 5: Solve for x
    x = 52,073,500,088.06/281,257.76
  6. Step 6: Final answer
    x = 185,145.11

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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.