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Finding the Fourth Proportional to 61.68, 84.74 and 55.21

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Solution

The fourth proportional to 61.68, 84.74 and 55.21 is: 75.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.68 : 84.74 = 55.21 : x
  2. Step 2: Convert to fraction form
    61.68/84.74 = 55.21/x
  3. Step 3: Cross multiply
    61.68x = 84.74 × 55.21
  4. Step 4: Simplify right side
    61.68x = 4,678.14
  5. Step 5: Solve for x
    x = 4,678.14/61.68
  6. Step 6: Final answer
    x = 75.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.