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Finding the Fourth Proportional to 123.71, 170.73 and 102.95

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Solution

The fourth proportional to 123.71, 170.73 and 102.95 is: 142.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.71 : 170.73 = 102.95 : x
  2. Step 2: Convert to fraction form
    123.71/170.73 = 102.95/x
  3. Step 3: Cross multiply
    123.71x = 170.73 × 102.95
  4. Step 4: Simplify right side
    123.71x = 17,575.29
  5. Step 5: Solve for x
    x = 17,575.29/123.71
  6. Step 6: Final answer
    x = 142.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.