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Finding the Fourth Proportional to 123.88, 184.77 and 106.56

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Solution

The fourth proportional to 123.88, 184.77 and 106.56 is: 158.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.88 : 184.77 = 106.56 : x
  2. Step 2: Convert to fraction form
    123.88/184.77 = 106.56/x
  3. Step 3: Cross multiply
    123.88x = 184.77 × 106.56
  4. Step 4: Simplify right side
    123.88x = 19,689.09
  5. Step 5: Solve for x
    x = 19,689.09/123.88
  6. Step 6: Final answer
    x = 158.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.