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Finding the Fourth Proportional to 66,217, 91,379.48 and 36,409

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Solution

The fourth proportional to 66,217, 91,379.48 and 36,409 is: 50,244.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,217 : 91,379.48 = 36,409 : x
  2. Step 2: Convert to fraction form
    66,217/91,379.48 = 36,409/x
  3. Step 3: Cross multiply
    66,217x = 91,379.48 × 36,409
  4. Step 4: Simplify right side
    66,217x = 3,327,035,487.32
  5. Step 5: Solve for x
    x = 3,327,035,487.32/66,217
  6. Step 6: Final answer
    x = 50,244.43

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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.