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Finding the Fourth Proportional to 203,385.88, 305,081.42 and 140,189.04

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Solution

The fourth proportional to 203,385.88, 305,081.42 and 140,189.04 is: 210,285.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,385.88 : 305,081.42 = 140,189.04 : x
  2. Step 2: Convert to fraction form
    203,385.88/305,081.42 = 140,189.04/x
  3. Step 3: Cross multiply
    203,385.88x = 305,081.42 × 140,189.04
  4. Step 4: Simplify right side
    203,385.88x = 42,769,071,391.64
  5. Step 5: Solve for x
    x = 42,769,071,391.64/203,385.88
  6. Step 6: Final answer
    x = 210,285.35

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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.