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Finding the Fourth Proportional to 200,126.88, 300,190.26 and 75,438.72

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Solution

The fourth proportional to 200,126.88, 300,190.26 and 75,438.72 is: 113,158.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,126.88 : 300,190.26 = 75,438.72 : x
  2. Step 2: Convert to fraction form
    200,126.88/300,190.26 = 75,438.72/x
  3. Step 3: Cross multiply
    200,126.88x = 300,190.26 × 75,438.72
  4. Step 4: Simplify right side
    200,126.88x = 22,645,968,970.87
  5. Step 5: Solve for x
    x = 22,645,968,970.87/200,126.88
  6. Step 6: Final answer
    x = 113,158.06

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1.5x scale

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.