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Finding the Fourth Proportional to 206,833.96, 310,251.75 and 136,697.68

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Solution

The fourth proportional to 206,833.96, 310,251.75 and 136,697.68 is: 205,047.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,833.96 : 310,251.75 = 136,697.68 : x
  2. Step 2: Convert to fraction form
    206,833.96/310,251.75 = 136,697.68/x
  3. Step 3: Cross multiply
    206,833.96x = 310,251.75 × 136,697.68
  4. Step 4: Simplify right side
    206,833.96x = 42,410,693,152.69
  5. Step 5: Solve for x
    x = 42,410,693,152.69/206,833.96
  6. Step 6: Final answer
    x = 205,047.05

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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.