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Finding the Fourth Proportional to 200,584.55, 300,507.77 and 125,690.74

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Solution

The fourth proportional to 200,584.55, 300,507.77 and 125,690.74 is: 188,304.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,584.55 : 300,507.77 = 125,690.74 : x
  2. Step 2: Convert to fraction form
    200,584.55/300,507.77 = 125,690.74/x
  3. Step 3: Cross multiply
    200,584.55x = 300,507.77 × 125,690.74
  4. Step 4: Simplify right side
    200,584.55x = 37,771,043,550.01
  5. Step 5: Solve for x
    x = 37,771,043,550.01/200,584.55
  6. Step 6: Final answer
    x = 188,304.85

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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.