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Finding the Fourth Proportional to 208,701.78, 313,065.10 and 80,619.04

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Solution

The fourth proportional to 208,701.78, 313,065.10 and 80,619.04 is: 120,933.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,701.78 : 313,065.10 = 80,619.04 : x
  2. Step 2: Convert to fraction form
    208,701.78/313,065.10 = 80,619.04/x
  3. Step 3: Cross multiply
    208,701.78x = 313,065.10 × 80,619.04
  4. Step 4: Simplify right side
    208,701.78x = 25,239,007,819.50
  5. Step 5: Solve for x
    x = 25,239,007,819.50/208,701.78
  6. Step 6: Final answer
    x = 120,933.36

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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.