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Finding the Fourth Proportional to 123.77, 170.74 and 77.15

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Solution

The fourth proportional to 123.77, 170.74 and 77.15 is: 106.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.77 : 170.74 = 77.15 : x
  2. Step 2: Convert to fraction form
    123.77/170.74 = 77.15/x
  3. Step 3: Cross multiply
    123.77x = 170.74 × 77.15
  4. Step 4: Simplify right side
    123.77x = 13,172.59
  5. Step 5: Solve for x
    x = 13,172.59/123.77
  6. Step 6: Final answer
    x = 106.43

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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.