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Finding the Fourth Proportional to 75.74, 112.90 and 75.17

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Solution

The fourth proportional to 75.74, 112.90 and 75.17 is: 112.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.74 : 112.90 = 75.17 : x
  2. Step 2: Convert to fraction form
    75.74/112.90 = 75.17/x
  3. Step 3: Cross multiply
    75.74x = 112.90 × 75.17
  4. Step 4: Simplify right side
    75.74x = 8,486.69
  5. Step 5: Solve for x
    x = 8,486.69/75.74
  6. Step 6: Final answer
    x = 112.05

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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.