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Finding the Fourth Proportional to 96.78, 146.01 and 91.47

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Solution

The fourth proportional to 96.78, 146.01 and 91.47 is: 138.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.78 : 146.01 = 91.47 : x
  2. Step 2: Convert to fraction form
    96.78/146.01 = 91.47/x
  3. Step 3: Cross multiply
    96.78x = 146.01 × 91.47
  4. Step 4: Simplify right side
    96.78x = 13,355.53
  5. Step 5: Solve for x
    x = 13,355.53/96.78
  6. Step 6: Final answer
    x = 138.00

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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.