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Finding the Fourth Proportional to 281,143.43, 421,715.16 and 81,463.95

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Solution

The fourth proportional to 281,143.43, 421,715.16 and 81,463.95 is: 122,195.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,143.43 : 421,715.16 = 81,463.95 : x
  2. Step 2: Convert to fraction form
    281,143.43/421,715.16 = 81,463.95/x
  3. Step 3: Cross multiply
    281,143.43x = 421,715.16 × 81,463.95
  4. Step 4: Simplify right side
    281,143.43x = 34,354,582,708.48
  5. Step 5: Solve for x
    x = 34,354,582,708.48/281,143.43
  6. Step 6: Final answer
    x = 122,195.93

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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.