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Finding the Fourth Proportional to 78.35, 117.42 and 49.07

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Solution

The fourth proportional to 78.35, 117.42 and 49.07 is: 73.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.35 : 117.42 = 49.07 : x
  2. Step 2: Convert to fraction form
    78.35/117.42 = 49.07/x
  3. Step 3: Cross multiply
    78.35x = 117.42 × 49.07
  4. Step 4: Simplify right side
    78.35x = 5,761.80
  5. Step 5: Solve for x
    x = 5,761.80/78.35
  6. Step 6: Final answer
    x = 73.54

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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.