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Finding the Fourth Proportional to 206,553.81, 309,861.93 and 73,402.42

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Solution

The fourth proportional to 206,553.81, 309,861.93 and 73,402.42 is: 110,114.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,553.81 : 309,861.93 = 73,402.42 : x
  2. Step 2: Convert to fraction form
    206,553.81/309,861.93 = 73,402.42/x
  3. Step 3: Cross multiply
    206,553.81x = 309,861.93 × 73,402.42
  4. Step 4: Simplify right side
    206,553.81x = 22,744,615,403.02
  5. Step 5: Solve for x
    x = 22,744,615,403.02/206,553.81
  6. Step 6: Final answer
    x = 110,114.72

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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.