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Finding the Fourth Proportional to 75.79, 114.10 and 61.48

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Solution

The fourth proportional to 75.79, 114.10 and 61.48 is: 92.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.79 : 114.10 = 61.48 : x
  2. Step 2: Convert to fraction form
    75.79/114.10 = 61.48/x
  3. Step 3: Cross multiply
    75.79x = 114.10 × 61.48
  4. Step 4: Simplify right side
    75.79x = 7,014.87
  5. Step 5: Solve for x
    x = 7,014.87/75.79
  6. Step 6: Final answer
    x = 92.56

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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.