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Finding the Fourth Proportional to 206,347.94, 309,549.47 and 81,659.78

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Solution

The fourth proportional to 206,347.94, 309,549.47 and 81,659.78 is: 122,500.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,347.94 : 309,549.47 = 81,659.78 : x
  2. Step 2: Convert to fraction form
    206,347.94/309,549.47 = 81,659.78/x
  3. Step 3: Cross multiply
    206,347.94x = 309,549.47 × 81,659.78
  4. Step 4: Simplify right side
    206,347.94x = 25,277,740,824.08
  5. Step 5: Solve for x
    x = 25,277,740,824.08/206,347.94
  6. Step 6: Final answer
    x = 122,500.57

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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.