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Finding the Fourth Proportional to 75.96, 114.37 and 74.07

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Solution

The fourth proportional to 75.96, 114.37 and 74.07 is: 111.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.96 : 114.37 = 74.07 : x
  2. Step 2: Convert to fraction form
    75.96/114.37 = 74.07/x
  3. Step 3: Cross multiply
    75.96x = 114.37 × 74.07
  4. Step 4: Simplify right side
    75.96x = 8,471.20
  5. Step 5: Solve for x
    x = 8,471.20/75.96
  6. Step 6: Final answer
    x = 111.52

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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.