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Finding the Fourth Proportional to 76.72, 114.48 and 74.89

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Solution

The fourth proportional to 76.72, 114.48 and 74.89 is: 111.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.72 : 114.48 = 74.89 : x
  2. Step 2: Convert to fraction form
    76.72/114.48 = 74.89/x
  3. Step 3: Cross multiply
    76.72x = 114.48 × 74.89
  4. Step 4: Simplify right side
    76.72x = 8,572.46
  5. Step 5: Solve for x
    x = 8,572.46/76.72
  6. Step 6: Final answer
    x = 111.74

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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.