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Finding the Fourth Proportional to 85,267.72, 127,792.12 and 40,827.88

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Solution

The fourth proportional to 85,267.72, 127,792.12 and 40,827.88 is: 61,189.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,267.72 : 127,792.12 = 40,827.88 : x
  2. Step 2: Convert to fraction form
    85,267.72/127,792.12 = 40,827.88/x
  3. Step 3: Cross multiply
    85,267.72x = 127,792.12 × 40,827.88
  4. Step 4: Simplify right side
    85,267.72x = 5,217,481,340.31
  5. Step 5: Solve for x
    x = 5,217,481,340.31/85,267.72
  6. Step 6: Final answer
    x = 61,189.41

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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.