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Finding the Fourth Proportional to 84.71, 126.38 and 78.35

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Solution

The fourth proportional to 84.71, 126.38 and 78.35 is: 116.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.71 : 126.38 = 78.35 : x
  2. Step 2: Convert to fraction form
    84.71/126.38 = 78.35/x
  3. Step 3: Cross multiply
    84.71x = 126.38 × 78.35
  4. Step 4: Simplify right side
    84.71x = 9,901.44
  5. Step 5: Solve for x
    x = 9,901.44/84.71
  6. Step 6: Final answer
    x = 116.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.