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Finding the Fourth Proportional to 78.42, 108.21 and 49.32

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Solution

The fourth proportional to 78.42, 108.21 and 49.32 is: 68.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.42 : 108.21 = 49.32 : x
  2. Step 2: Convert to fraction form
    78.42/108.21 = 49.32/x
  3. Step 3: Cross multiply
    78.42x = 108.21 × 49.32
  4. Step 4: Simplify right side
    78.42x = 5,336.92
  5. Step 5: Solve for x
    x = 5,336.92/78.42
  6. Step 6: Final answer
    x = 68.06

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Why These Related Problems?

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