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Finding the Fourth Proportional to 78.34, 117.34 and 51.31

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Solution

The fourth proportional to 78.34, 117.34 and 51.31 is: 76.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.34 : 117.34 = 51.31 : x
  2. Step 2: Convert to fraction form
    78.34/117.34 = 51.31/x
  3. Step 3: Cross multiply
    78.34x = 117.34 × 51.31
  4. Step 4: Simplify right side
    78.34x = 6,020.72
  5. Step 5: Solve for x
    x = 6,020.72/78.34
  6. Step 6: Final answer
    x = 76.85

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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.