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Finding the Fourth Proportional to 159.76, 239.60 and 78.54

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Solution

The fourth proportional to 159.76, 239.60 and 78.54 is: 117.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.76 : 239.60 = 78.54 : x
  2. Step 2: Convert to fraction form
    159.76/239.60 = 78.54/x
  3. Step 3: Cross multiply
    159.76x = 239.60 × 78.54
  4. Step 4: Simplify right side
    159.76x = 18,818.18
  5. Step 5: Solve for x
    x = 18,818.18/159.76
  6. Step 6: Final answer
    x = 117.79

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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.