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Finding the Fourth Proportional to 203,068, 280,194.94 and 131,438.08

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Solution

The fourth proportional to 203,068, 280,194.94 and 131,438.08 is: 181,359.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,068 : 280,194.94 = 131,438.08 : x
  2. Step 2: Convert to fraction form
    203,068/280,194.94 = 131,438.08/x
  3. Step 3: Cross multiply
    203,068x = 280,194.94 × 131,438.08
  4. Step 4: Simplify right side
    203,068x = 36,828,284,939.32
  5. Step 5: Solve for x
    x = 36,828,284,939.32/203,068
  6. Step 6: Final answer
    x = 181,359.37

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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.