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Finding the Fourth Proportional to 202,213.20, 279,053.43 and 111,574.80

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Solution

The fourth proportional to 202,213.20, 279,053.43 and 111,574.80 is: 153,972.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,213.20 : 279,053.43 = 111,574.80 : x
  2. Step 2: Convert to fraction form
    202,213.20/279,053.43 = 111,574.80/x
  3. Step 3: Cross multiply
    202,213.20x = 279,053.43 × 111,574.80
  4. Step 4: Simplify right side
    202,213.20x = 31,135,330,641.56
  5. Step 5: Solve for x
    x = 31,135,330,641.56/202,213.20
  6. Step 6: Final answer
    x = 153,972.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.