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Finding the Fourth Proportional to 123.72, 185.28 and 75.56

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Solution

The fourth proportional to 123.72, 185.28 and 75.56 is: 113.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.72 : 185.28 = 75.56 : x
  2. Step 2: Convert to fraction form
    123.72/185.28 = 75.56/x
  3. Step 3: Cross multiply
    123.72x = 185.28 × 75.56
  4. Step 4: Simplify right side
    123.72x = 13,999.76
  5. Step 5: Solve for x
    x = 13,999.76/123.72
  6. Step 6: Final answer
    x = 113.16

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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.