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Finding the Fourth Proportional to 206,990.86, 310,606.79 and 87,039.14

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Solution

The fourth proportional to 206,990.86, 310,606.79 and 87,039.14 is: 130,609.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,990.86 : 310,606.79 = 87,039.14 : x
  2. Step 2: Convert to fraction form
    206,990.86/310,606.79 = 87,039.14/x
  3. Step 3: Cross multiply
    206,990.86x = 310,606.79 × 87,039.14
  4. Step 4: Simplify right side
    206,990.86x = 27,034,947,879.76
  5. Step 5: Solve for x
    x = 27,034,947,879.76/206,990.86
  6. Step 6: Final answer
    x = 130,609.38

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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.