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Finding the Fourth Proportional to 129.96, 193.77 and 123.93

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Solution

The fourth proportional to 129.96, 193.77 and 123.93 is: 184.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.96 : 193.77 = 123.93 : x
  2. Step 2: Convert to fraction form
    129.96/193.77 = 123.93/x
  3. Step 3: Cross multiply
    129.96x = 193.77 × 123.93
  4. Step 4: Simplify right side
    129.96x = 24,013.92
  5. Step 5: Solve for x
    x = 24,013.92/129.96
  6. Step 6: Final answer
    x = 184.78

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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.