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Finding the Fourth Proportional to 74.84, 111.92 and 56.76

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Solution

The fourth proportional to 74.84, 111.92 and 56.76 is: 84.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.84 : 111.92 = 56.76 : x
  2. Step 2: Convert to fraction form
    74.84/111.92 = 56.76/x
  3. Step 3: Cross multiply
    74.84x = 111.92 × 56.76
  4. Step 4: Simplify right side
    74.84x = 6,352.58
  5. Step 5: Solve for x
    x = 6,352.58/74.84
  6. Step 6: Final answer
    x = 84.88

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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.