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Finding the Fourth Proportional to 206,814.72, 310,209.72 and 73,687.92

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Solution

The fourth proportional to 206,814.72, 310,209.72 and 73,687.92 is: 110,527.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,814.72 : 310,209.72 = 73,687.92 : x
  2. Step 2: Convert to fraction form
    206,814.72/310,209.72 = 73,687.92/x
  3. Step 3: Cross multiply
    206,814.72x = 310,209.72 × 73,687.92
  4. Step 4: Simplify right side
    206,814.72x = 22,858,709,030.58
  5. Step 5: Solve for x
    x = 22,858,709,030.58/206,814.72
  6. Step 6: Final answer
    x = 110,527.48

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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.