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Finding the Fourth Proportional to 78.52, 117.83 and 30.46

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Solution

The fourth proportional to 78.52, 117.83 and 30.46 is: 45.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.52 : 117.83 = 30.46 : x
  2. Step 2: Convert to fraction form
    78.52/117.83 = 30.46/x
  3. Step 3: Cross multiply
    78.52x = 117.83 × 30.46
  4. Step 4: Simplify right side
    78.52x = 3,589.10
  5. Step 5: Solve for x
    x = 3,589.10/78.52
  6. Step 6: Final answer
    x = 45.71

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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.