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Finding the Fourth Proportional to 119.79, 178.47 and 112.77

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Solution

The fourth proportional to 119.79, 178.47 and 112.77 is: 168.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.79 : 178.47 = 112.77 : x
  2. Step 2: Convert to fraction form
    119.79/178.47 = 112.77/x
  3. Step 3: Cross multiply
    119.79x = 178.47 × 112.77
  4. Step 4: Simplify right side
    119.79x = 20,126.06
  5. Step 5: Solve for x
    x = 20,126.06/119.79
  6. Step 6: Final answer
    x = 168.01

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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.