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Finding the Fourth Proportional to 281,132.40, 421,844.40 and 123,376.80

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Solution

The fourth proportional to 281,132.40, 421,844.40 and 123,376.80 is: 185,129.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,132.40 : 421,844.40 = 123,376.80 : x
  2. Step 2: Convert to fraction form
    281,132.40/421,844.40 = 123,376.80/x
  3. Step 3: Cross multiply
    281,132.40x = 421,844.40 × 123,376.80
  4. Step 4: Simplify right side
    281,132.40x = 52,045,812,169.92
  5. Step 5: Solve for x
    x = 52,045,812,169.92/281,132.40
  6. Step 6: Final answer
    x = 185,129.19

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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.