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Finding the Fourth Proportional to 281,446.68, 422,081.73 and 81,780.87

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Solution

The fourth proportional to 281,446.68, 422,081.73 and 81,780.87 is: 122,645.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,446.68 : 422,081.73 = 81,780.87 : x
  2. Step 2: Convert to fraction form
    281,446.68/422,081.73 = 81,780.87/x
  3. Step 3: Cross multiply
    281,446.68x = 422,081.73 × 81,780.87
  4. Step 4: Simplify right side
    281,446.68x = 34,518,211,090.51
  5. Step 5: Solve for x
    x = 34,518,211,090.51/281,446.68
  6. Step 6: Final answer
    x = 122,645.65

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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.