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Finding the Fourth Proportional to 66,200.20, 91,268.49 and 54,827.80

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Solution

The fourth proportional to 66,200.20, 91,268.49 and 54,827.80 is: 75,589.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,200.20 : 91,268.49 = 54,827.80 : x
  2. Step 2: Convert to fraction form
    66,200.20/91,268.49 = 54,827.80/x
  3. Step 3: Cross multiply
    66,200.20x = 91,268.49 × 54,827.80
  4. Step 4: Simplify right side
    66,200.20x = 5,004,050,516.02
  5. Step 5: Solve for x
    x = 5,004,050,516.02/66,200.20
  6. Step 6: Final answer
    x = 75,589.66

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1.5x scale

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.