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Finding the Fourth Proportional to 203,992.23, 305,769.58 and 98,666.31

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Solution

The fourth proportional to 203,992.23, 305,769.58 and 98,666.31 is: 147,893.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,992.23 : 305,769.58 = 98,666.31 : x
  2. Step 2: Convert to fraction form
    203,992.23/305,769.58 = 98,666.31/x
  3. Step 3: Cross multiply
    203,992.23x = 305,769.58 × 98,666.31
  4. Step 4: Simplify right side
    203,992.23x = 30,169,156,168.85
  5. Step 5: Solve for x
    x = 30,169,156,168.85/203,992.23
  6. Step 6: Final answer
    x = 147,893.65

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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.