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Finding the Fourth Proportional to 65,892, 90,930.81 and 35,677.34

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Solution

The fourth proportional to 65,892, 90,930.81 and 35,677.34 is: 49,234.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,892 : 90,930.81 = 35,677.34 : x
  2. Step 2: Convert to fraction form
    65,892/90,930.81 = 35,677.34/x
  3. Step 3: Cross multiply
    65,892x = 90,930.81 × 35,677.34
  4. Step 4: Simplify right side
    65,892x = 3,244,169,424.85
  5. Step 5: Solve for x
    x = 3,244,169,424.85/65,892
  6. Step 6: Final answer
    x = 49,234.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.