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Finding the Fourth Proportional to 75.32, 113.49 and 62.09

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Solution

The fourth proportional to 75.32, 113.49 and 62.09 is: 93.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.32 : 113.49 = 62.09 : x
  2. Step 2: Convert to fraction form
    75.32/113.49 = 62.09/x
  3. Step 3: Cross multiply
    75.32x = 113.49 × 62.09
  4. Step 4: Simplify right side
    75.32x = 7,046.59
  5. Step 5: Solve for x
    x = 7,046.59/75.32
  6. Step 6: Final answer
    x = 93.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.