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Finding the Fourth Proportional to 73.75, 111.04 and 61.11

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Solution

The fourth proportional to 73.75, 111.04 and 61.11 is: 92.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.75 : 111.04 = 61.11 : x
  2. Step 2: Convert to fraction form
    73.75/111.04 = 61.11/x
  3. Step 3: Cross multiply
    73.75x = 111.04 × 61.11
  4. Step 4: Simplify right side
    73.75x = 6,785.58
  5. Step 5: Solve for x
    x = 6,785.58/73.75
  6. Step 6: Final answer
    x = 92.00

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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.