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Finding the Fourth Proportional to 159.77, 239.54 and 78.56

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Solution

The fourth proportional to 159.77, 239.54 and 78.56 is: 117.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.77 : 239.54 = 78.56 : x
  2. Step 2: Convert to fraction form
    159.77/239.54 = 78.56/x
  3. Step 3: Cross multiply
    159.77x = 239.54 × 78.56
  4. Step 4: Simplify right side
    159.77x = 18,816.67
  5. Step 5: Solve for x
    x = 18,816.67/159.77
  6. Step 6: Final answer
    x = 117.78

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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.