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Finding the Fourth Proportional to 106.31, 146.78 and 64.87

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Solution

The fourth proportional to 106.31, 146.78 and 64.87 is: 89.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.31 : 146.78 = 64.87 : x
  2. Step 2: Convert to fraction form
    106.31/146.78 = 64.87/x
  3. Step 3: Cross multiply
    106.31x = 146.78 × 64.87
  4. Step 4: Simplify right side
    106.31x = 9,520.93
  5. Step 5: Solve for x
    x = 9,520.93/106.31
  6. Step 6: Final answer
    x = 89.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.