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Finding the Fourth Proportional to 121.34, 182.02 and 78.50

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Solution

The fourth proportional to 121.34, 182.02 and 78.50 is: 117.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.34 : 182.02 = 78.50 : x
  2. Step 2: Convert to fraction form
    121.34/182.02 = 78.50/x
  3. Step 3: Cross multiply
    121.34x = 182.02 × 78.50
  4. Step 4: Simplify right side
    121.34x = 14,288.57
  5. Step 5: Solve for x
    x = 14,288.57/121.34
  6. Step 6: Final answer
    x = 117.76

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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.