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Finding the Fourth Proportional to 74.78, 112.24 and 47.74

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Solution

The fourth proportional to 74.78, 112.24 and 47.74 is: 71.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.78 : 112.24 = 47.74 : x
  2. Step 2: Convert to fraction form
    74.78/112.24 = 47.74/x
  3. Step 3: Cross multiply
    74.78x = 112.24 × 47.74
  4. Step 4: Simplify right side
    74.78x = 5,358.10
  5. Step 5: Solve for x
    x = 5,358.10/74.78
  6. Step 6: Final answer
    x = 71.66

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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.