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Finding the Fourth Proportional to 85,091.64, 127,627.79 and 22,767

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Solution

The fourth proportional to 85,091.64, 127,627.79 and 22,767 is: 34,147.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,091.64 : 127,627.79 = 22,767 : x
  2. Step 2: Convert to fraction form
    85,091.64/127,627.79 = 22,767/x
  3. Step 3: Cross multiply
    85,091.64x = 127,627.79 × 22,767
  4. Step 4: Simplify right side
    85,091.64x = 2,905,701,781.10
  5. Step 5: Solve for x
    x = 2,905,701,781.10/85,091.64
  6. Step 6: Final answer
    x = 34,147.91

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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.