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Finding the Fourth Proportional to 281,094.65, 421,648.13 and 112,694.29

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Solution

The fourth proportional to 281,094.65, 421,648.13 and 112,694.29 is: 169,043.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,094.65 : 421,648.13 = 112,694.29 : x
  2. Step 2: Convert to fraction form
    281,094.65/421,648.13 = 112,694.29/x
  3. Step 3: Cross multiply
    281,094.65x = 421,648.13 × 112,694.29
  4. Step 4: Simplify right side
    281,094.65x = 47,517,335,586.06
  5. Step 5: Solve for x
    x = 47,517,335,586.06/281,094.65
  6. Step 6: Final answer
    x = 169,043.90

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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.