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Finding the Fourth Proportional to 96.45, 145.25 and 87.81

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Solution

The fourth proportional to 96.45, 145.25 and 87.81 is: 132.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.45 : 145.25 = 87.81 : x
  2. Step 2: Convert to fraction form
    96.45/145.25 = 87.81/x
  3. Step 3: Cross multiply
    96.45x = 145.25 × 87.81
  4. Step 4: Simplify right side
    96.45x = 12,754.40
  5. Step 5: Solve for x
    x = 12,754.40/96.45
  6. Step 6: Final answer
    x = 132.24

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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.