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Finding the Fourth Proportional to 77.93, 107.48 and 64.11

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Solution

The fourth proportional to 77.93, 107.48 and 64.11 is: 88.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.93 : 107.48 = 64.11 : x
  2. Step 2: Convert to fraction form
    77.93/107.48 = 64.11/x
  3. Step 3: Cross multiply
    77.93x = 107.48 × 64.11
  4. Step 4: Simplify right side
    77.93x = 6,890.14
  5. Step 5: Solve for x
    x = 6,890.14/77.93
  6. Step 6: Final answer
    x = 88.42

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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.