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Finding the Fourth Proportional to 76.68, 114.50 and 67.58

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Solution

The fourth proportional to 76.68, 114.50 and 67.58 is: 100.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.68 : 114.50 = 67.58 : x
  2. Step 2: Convert to fraction form
    76.68/114.50 = 67.58/x
  3. Step 3: Cross multiply
    76.68x = 114.50 × 67.58
  4. Step 4: Simplify right side
    76.68x = 7,737.91
  5. Step 5: Solve for x
    x = 7,737.91/76.68
  6. Step 6: Final answer
    x = 100.91

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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.