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Finding the Fourth Proportional to 133,695.40, 200,543.10 and 50,578.60

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Solution

The fourth proportional to 133,695.40, 200,543.10 and 50,578.60 is: 75,867.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,695.40 : 200,543.10 = 50,578.60 : x
  2. Step 2: Convert to fraction form
    133,695.40/200,543.10 = 50,578.60/x
  3. Step 3: Cross multiply
    133,695.40x = 200,543.10 × 50,578.60
  4. Step 4: Simplify right side
    133,695.40x = 10,143,189,237.66
  5. Step 5: Solve for x
    x = 10,143,189,237.66/133,695.40
  6. Step 6: Final answer
    x = 75,867.90

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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.