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Finding the Fourth Proportional to 74.78, 112.14 and 31.45

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Solution

The fourth proportional to 74.78, 112.14 and 31.45 is: 47.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.78 : 112.14 = 31.45 : x
  2. Step 2: Convert to fraction form
    74.78/112.14 = 31.45/x
  3. Step 3: Cross multiply
    74.78x = 112.14 × 31.45
  4. Step 4: Simplify right side
    74.78x = 3,526.80
  5. Step 5: Solve for x
    x = 3,526.80/74.78
  6. Step 6: Final answer
    x = 47.16

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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.