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Finding the Fourth Proportional to 66,218.50, 91,381.53 and 36,410.50

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Solution

The fourth proportional to 66,218.50, 91,381.53 and 36,410.50 is: 50,246.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,218.50 : 91,381.53 = 36,410.50 : x
  2. Step 2: Convert to fraction form
    66,218.50/91,381.53 = 36,410.50/x
  3. Step 3: Cross multiply
    66,218.50x = 91,381.53 × 36,410.50
  4. Step 4: Simplify right side
    66,218.50x = 3,327,247,198.07
  5. Step 5: Solve for x
    x = 3,327,247,198.07/66,218.50
  6. Step 6: Final answer
    x = 50,246.49

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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.