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Finding the Fourth Proportional to 94.56, 142.62 and 87.90

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Solution

The fourth proportional to 94.56, 142.62 and 87.90 is: 132.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.56 : 142.62 = 87.90 : x
  2. Step 2: Convert to fraction form
    94.56/142.62 = 87.90/x
  3. Step 3: Cross multiply
    94.56x = 142.62 × 87.90
  4. Step 4: Simplify right side
    94.56x = 12,536.30
  5. Step 5: Solve for x
    x = 12,536.30/94.56
  6. Step 6: Final answer
    x = 132.58

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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.