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Finding the Fourth Proportional to 84.65, 127.42 and 73.49

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Solution

The fourth proportional to 84.65, 127.42 and 73.49 is: 110.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.65 : 127.42 = 73.49 : x
  2. Step 2: Convert to fraction form
    84.65/127.42 = 73.49/x
  3. Step 3: Cross multiply
    84.65x = 127.42 × 73.49
  4. Step 4: Simplify right side
    84.65x = 9,363.27
  5. Step 5: Solve for x
    x = 9,363.27/84.65
  6. Step 6: Final answer
    x = 110.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.