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Finding the Fourth Proportional to 94.96, 142.62 and 56.51

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Solution

The fourth proportional to 94.96, 142.62 and 56.51 is: 84.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.96 : 142.62 = 56.51 : x
  2. Step 2: Convert to fraction form
    94.96/142.62 = 56.51/x
  3. Step 3: Cross multiply
    94.96x = 142.62 × 56.51
  4. Step 4: Simplify right side
    94.96x = 8,059.98
  5. Step 5: Solve for x
    x = 8,059.98/94.96
  6. Step 6: Final answer
    x = 84.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.