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Finding the Fourth Proportional to 78.71, 108.59 and 54.11

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Solution

The fourth proportional to 78.71, 108.59 and 54.11 is: 74.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.71 : 108.59 = 54.11 : x
  2. Step 2: Convert to fraction form
    78.71/108.59 = 54.11/x
  3. Step 3: Cross multiply
    78.71x = 108.59 × 54.11
  4. Step 4: Simplify right side
    78.71x = 5,875.35
  5. Step 5: Solve for x
    x = 5,875.35/78.71
  6. Step 6: Final answer
    x = 74.65

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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.