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Finding the Fourth Proportional to 85.65, 127.55 and 84.13

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Solution

The fourth proportional to 85.65, 127.55 and 84.13 is: 125.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.65 : 127.55 = 84.13 : x
  2. Step 2: Convert to fraction form
    85.65/127.55 = 84.13/x
  3. Step 3: Cross multiply
    85.65x = 127.55 × 84.13
  4. Step 4: Simplify right side
    85.65x = 10,730.78
  5. Step 5: Solve for x
    x = 10,730.78/85.65
  6. Step 6: Final answer
    x = 125.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.