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Finding the Fourth Proportional to 96.61, 133.45 and 78.41

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Solution

The fourth proportional to 96.61, 133.45 and 78.41 is: 108.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.61 : 133.45 = 78.41 : x
  2. Step 2: Convert to fraction form
    96.61/133.45 = 78.41/x
  3. Step 3: Cross multiply
    96.61x = 133.45 × 78.41
  4. Step 4: Simplify right side
    96.61x = 10,463.81
  5. Step 5: Solve for x
    x = 10,463.81/96.61
  6. Step 6: Final answer
    x = 108.31

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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.