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Finding the Fourth Proportional to 281,398.80, 422,120.16 and 81,722.46

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Solution

The fourth proportional to 281,398.80, 422,120.16 and 81,722.46 is: 122,590.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,398.80 : 422,120.16 = 81,722.46 : x
  2. Step 2: Convert to fraction form
    281,398.80/422,120.16 = 81,722.46/x
  3. Step 3: Cross multiply
    281,398.80x = 422,120.16 × 81,722.46
  4. Step 4: Simplify right side
    281,398.80x = 34,496,697,890.79
  5. Step 5: Solve for x
    x = 34,496,697,890.79/281,398.80
  6. Step 6: Final answer
    x = 122,590.07

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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.