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Finding the Fourth Proportional to 206,591.48, 309,222.81 and 106,615.47

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Solution

The fourth proportional to 206,591.48, 309,222.81 and 106,615.47 is: 159,580.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,591.48 : 309,222.81 = 106,615.47 : x
  2. Step 2: Convert to fraction form
    206,591.48/309,222.81 = 106,615.47/x
  3. Step 3: Cross multiply
    206,591.48x = 309,222.81 × 106,615.47
  4. Step 4: Simplify right side
    206,591.48x = 32,967,935,222.87
  5. Step 5: Solve for x
    x = 32,967,935,222.87/206,591.48
  6. Step 6: Final answer
    x = 159,580.32

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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.