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Finding the Fourth Proportional to 74.90, 111.58 and 71.38

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Solution

The fourth proportional to 74.90, 111.58 and 71.38 is: 106.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.90 : 111.58 = 71.38 : x
  2. Step 2: Convert to fraction form
    74.90/111.58 = 71.38/x
  3. Step 3: Cross multiply
    74.90x = 111.58 × 71.38
  4. Step 4: Simplify right side
    74.90x = 7,964.58
  5. Step 5: Solve for x
    x = 7,964.58/74.90
  6. Step 6: Final answer
    x = 106.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.