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Finding the Fourth Proportional to 123.93, 171.05 and 71.51

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Solution

The fourth proportional to 123.93, 171.05 and 71.51 is: 98.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.93 : 171.05 = 71.51 : x
  2. Step 2: Convert to fraction form
    123.93/171.05 = 71.51/x
  3. Step 3: Cross multiply
    123.93x = 171.05 × 71.51
  4. Step 4: Simplify right side
    123.93x = 12,230.57
  5. Step 5: Solve for x
    x = 12,230.57/123.93
  6. Step 6: Final answer
    x = 98.69

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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.