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Finding the Fourth Proportional to 96, 143.04 and 88.64

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Solution

The fourth proportional to 96, 143.04 and 88.64 is: 132.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    96 : 143.04 = 88.64 : x
  2. Step 2: Convert to fraction form
    96/143.04 = 88.64/x
  3. Step 3: Cross multiply
    96x = 143.04 × 88.64
  4. Step 4: Simplify right side
    96x = 12,679.07
  5. Step 5: Solve for x
    x = 12,679.07/96
  6. Step 6: Final answer
    x = 132.07

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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.