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Finding the Fourth Proportional to 74.66, 112.56 and 71.82

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Solution

The fourth proportional to 74.66, 112.56 and 71.82 is: 108.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.66 : 112.56 = 71.82 : x
  2. Step 2: Convert to fraction form
    74.66/112.56 = 71.82/x
  3. Step 3: Cross multiply
    74.66x = 112.56 × 71.82
  4. Step 4: Simplify right side
    74.66x = 8,083.79
  5. Step 5: Solve for x
    x = 8,083.79/74.66
  6. Step 6: Final answer
    x = 108.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.