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Finding the Fourth Proportional to 74.71, 111.72 and 71.06

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Solution

The fourth proportional to 74.71, 111.72 and 71.06 is: 106.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.71 : 111.72 = 71.06 : x
  2. Step 2: Convert to fraction form
    74.71/111.72 = 71.06/x
  3. Step 3: Cross multiply
    74.71x = 111.72 × 71.06
  4. Step 4: Simplify right side
    74.71x = 7,938.66
  5. Step 5: Solve for x
    x = 7,938.66/74.71
  6. Step 6: Final answer
    x = 106.27

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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.