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Finding the Fourth Proportional to 281,622.78, 422,528.49 and 92,091.90

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Solution

The fourth proportional to 281,622.78, 422,528.49 and 92,091.90 is: 138,168.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,622.78 : 422,528.49 = 92,091.90 : x
  2. Step 2: Convert to fraction form
    281,622.78/422,528.49 = 92,091.90/x
  3. Step 3: Cross multiply
    281,622.78x = 422,528.49 × 92,091.90
  4. Step 4: Simplify right side
    281,622.78x = 38,911,451,448.23
  5. Step 5: Solve for x
    x = 38,911,451,448.23/281,622.78
  6. Step 6: Final answer
    x = 138,168.69

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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.