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Finding the Fourth Proportional to 213,184.70, 319,608.36 and 80,050.13

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Solution

The fourth proportional to 213,184.70, 319,608.36 and 80,050.13 is: 120,011.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,184.70 : 319,608.36 = 80,050.13 : x
  2. Step 2: Convert to fraction form
    213,184.70/319,608.36 = 80,050.13/x
  3. Step 3: Cross multiply
    213,184.70x = 319,608.36 × 80,050.13
  4. Step 4: Simplify right side
    213,184.70x = 25,584,690,767.09
  5. Step 5: Solve for x
    x = 25,584,690,767.09/213,184.70
  6. Step 6: Final answer
    x = 120,011.85

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1.5x scale

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.