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Finding the Fourth Proportional to 74.71, 111.49 and 72.89

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Solution

The fourth proportional to 74.71, 111.49 and 72.89 is: 108.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.71 : 111.49 = 72.89 : x
  2. Step 2: Convert to fraction form
    74.71/111.49 = 72.89/x
  3. Step 3: Cross multiply
    74.71x = 111.49 × 72.89
  4. Step 4: Simplify right side
    74.71x = 8,126.18
  5. Step 5: Solve for x
    x = 8,126.18/74.71
  6. Step 6: Final answer
    x = 108.77

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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.