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Finding the Fourth Proportional to 74.61, 111.80 and 31.23

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Solution

The fourth proportional to 74.61, 111.80 and 31.23 is: 46.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.61 : 111.80 = 31.23 : x
  2. Step 2: Convert to fraction form
    74.61/111.80 = 31.23/x
  3. Step 3: Cross multiply
    74.61x = 111.80 × 31.23
  4. Step 4: Simplify right side
    74.61x = 3,491.36
  5. Step 5: Solve for x
    x = 3,491.36/74.61
  6. Step 6: Final answer
    x = 46.79

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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.