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Finding the Fourth Proportional to 213,209.96, 319,756.56 and 80,079.92

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Solution

The fourth proportional to 213,209.96, 319,756.56 and 80,079.92 is: 120,097.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,209.96 : 319,756.56 = 80,079.92 : x
  2. Step 2: Convert to fraction form
    213,209.96/319,756.56 = 80,079.92/x
  3. Step 3: Cross multiply
    213,209.96x = 319,756.56 × 80,079.92
  4. Step 4: Simplify right side
    213,209.96x = 25,606,079,744.28
  5. Step 5: Solve for x
    x = 25,606,079,744.28/213,209.96
  6. Step 6: Final answer
    x = 120,097.95

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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.