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Finding the Fourth Proportional to 78.42, 117.39 and 52.67

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Solution

The fourth proportional to 78.42, 117.39 and 52.67 is: 78.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.42 : 117.39 = 52.67 : x
  2. Step 2: Convert to fraction form
    78.42/117.39 = 52.67/x
  3. Step 3: Cross multiply
    78.42x = 117.39 × 52.67
  4. Step 4: Simplify right side
    78.42x = 6,182.93
  5. Step 5: Solve for x
    x = 6,182.93/78.42
  6. Step 6: Final answer
    x = 78.85

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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.