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Finding the Fourth Proportional to 205,613.64, 308,422.62 and 72,469.08

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Solution

The fourth proportional to 205,613.64, 308,422.62 and 72,469.08 is: 108,704.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,613.64 : 308,422.62 = 72,469.08 : x
  2. Step 2: Convert to fraction form
    205,613.64/308,422.62 = 72,469.08/x
  3. Step 3: Cross multiply
    205,613.64x = 308,422.62 × 72,469.08
  4. Step 4: Simplify right side
    205,613.64x = 22,351,103,522.59
  5. Step 5: Solve for x
    x = 22,351,103,522.59/205,613.64
  6. Step 6: Final answer
    x = 108,704.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.