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Finding the Fourth Proportional to 78.49, 108.39 and 52.69

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Solution

The fourth proportional to 78.49, 108.39 and 52.69 is: 72.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.49 : 108.39 = 52.69 : x
  2. Step 2: Convert to fraction form
    78.49/108.39 = 52.69/x
  3. Step 3: Cross multiply
    78.49x = 108.39 × 52.69
  4. Step 4: Simplify right side
    78.49x = 5,710.81
  5. Step 5: Solve for x
    x = 5,710.81/78.49
  6. Step 6: Final answer
    x = 72.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.