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Finding the Fourth Proportional to 119.06, 177.87 and 77.59

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Solution

The fourth proportional to 119.06, 177.87 and 77.59 is: 115.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.06 : 177.87 = 77.59 : x
  2. Step 2: Convert to fraction form
    119.06/177.87 = 77.59/x
  3. Step 3: Cross multiply
    119.06x = 177.87 × 77.59
  4. Step 4: Simplify right side
    119.06x = 13,801.18
  5. Step 5: Solve for x
    x = 13,801.18/119.06
  6. Step 6: Final answer
    x = 115.92

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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.