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Finding the Fourth Proportional to 123.49, 170.45 and 71.06

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Solution

The fourth proportional to 123.49, 170.45 and 71.06 is: 98.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.49 : 170.45 = 71.06 : x
  2. Step 2: Convert to fraction form
    123.49/170.45 = 71.06/x
  3. Step 3: Cross multiply
    123.49x = 170.45 × 71.06
  4. Step 4: Simplify right side
    123.49x = 12,112.18
  5. Step 5: Solve for x
    x = 12,112.18/123.49
  6. Step 6: Final answer
    x = 98.08

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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.