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Finding the Fourth Proportional to 77.61, 107.13 and 59.28

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Solution

The fourth proportional to 77.61, 107.13 and 59.28 is: 81.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.61 : 107.13 = 59.28 : x
  2. Step 2: Convert to fraction form
    77.61/107.13 = 59.28/x
  3. Step 3: Cross multiply
    77.61x = 107.13 × 59.28
  4. Step 4: Simplify right side
    77.61x = 6,350.67
  5. Step 5: Solve for x
    x = 6,350.67/77.61
  6. Step 6: Final answer
    x = 81.83

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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.