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Finding the Fourth Proportional to 61.82, 92.35 and 47.37

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Solution

The fourth proportional to 61.82, 92.35 and 47.37 is: 70.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.82 : 92.35 = 47.37 : x
  2. Step 2: Convert to fraction form
    61.82/92.35 = 47.37/x
  3. Step 3: Cross multiply
    61.82x = 92.35 × 47.37
  4. Step 4: Simplify right side
    61.82x = 4,374.62
  5. Step 5: Solve for x
    x = 4,374.62/61.82
  6. Step 6: Final answer
    x = 70.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.