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Finding the Fourth Proportional to 123.78, 185.76 and 51.70

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Solution

The fourth proportional to 123.78, 185.76 and 51.70 is: 77.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.78 : 185.76 = 51.70 : x
  2. Step 2: Convert to fraction form
    123.78/185.76 = 51.70/x
  3. Step 3: Cross multiply
    123.78x = 185.76 × 51.70
  4. Step 4: Simplify right side
    123.78x = 9,603.79
  5. Step 5: Solve for x
    x = 9,603.79/123.78
  6. Step 6: Final answer
    x = 77.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.