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Finding the Fourth Proportional to 123.87, 170.76 and 79.59

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Solution

The fourth proportional to 123.87, 170.76 and 79.59 is: 109.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.87 : 170.76 = 79.59 : x
  2. Step 2: Convert to fraction form
    123.87/170.76 = 79.59/x
  3. Step 3: Cross multiply
    123.87x = 170.76 × 79.59
  4. Step 4: Simplify right side
    123.87x = 13,590.79
  5. Step 5: Solve for x
    x = 13,590.79/123.87
  6. Step 6: Final answer
    x = 109.72

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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.