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Finding the Fourth Proportional to 77.61, 107.09 and 62.10

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Solution

The fourth proportional to 77.61, 107.09 and 62.10 is: 85.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.61 : 107.09 = 62.10 : x
  2. Step 2: Convert to fraction form
    77.61/107.09 = 62.10/x
  3. Step 3: Cross multiply
    77.61x = 107.09 × 62.10
  4. Step 4: Simplify right side
    77.61x = 6,649.98
  5. Step 5: Solve for x
    x = 6,649.98/77.61
  6. Step 6: Final answer
    x = 85.68

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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.