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Finding the Fourth Proportional to 281,105.74, 421,658.60 and 81,426.20

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Solution

The fourth proportional to 281,105.74, 421,658.60 and 81,426.20 is: 122,139.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,105.74 : 421,658.60 = 81,426.20 : x
  2. Step 2: Convert to fraction form
    281,105.74/421,658.60 = 81,426.20/x
  3. Step 3: Cross multiply
    281,105.74x = 421,658.60 × 81,426.20
  4. Step 4: Simplify right side
    281,105.74x = 34,334,054,979.90
  5. Step 5: Solve for x
    x = 34,334,054,979.90/281,105.74
  6. Step 6: Final answer
    x = 122,139.29

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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.