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Finding the Fourth Proportional to 75.62, 112.19 and 74.40

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Solution

The fourth proportional to 75.62, 112.19 and 74.40 is: 110.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.62 : 112.19 = 74.40 : x
  2. Step 2: Convert to fraction form
    75.62/112.19 = 74.40/x
  3. Step 3: Cross multiply
    75.62x = 112.19 × 74.40
  4. Step 4: Simplify right side
    75.62x = 8,346.56
  5. Step 5: Solve for x
    x = 8,346.56/75.62
  6. Step 6: Final answer
    x = 110.38

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.