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Finding the Fourth Proportional to 203,422.84, 280,715.78 and 112,780.20

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Solution

The fourth proportional to 203,422.84, 280,715.78 and 112,780.20 is: 155,632.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,422.84 : 280,715.78 = 112,780.20 : x
  2. Step 2: Convert to fraction form
    203,422.84/280,715.78 = 112,780.20/x
  3. Step 3: Cross multiply
    203,422.84x = 280,715.78 × 112,780.20
  4. Step 4: Simplify right side
    203,422.84x = 31,659,181,811.56
  5. Step 5: Solve for x
    x = 31,659,181,811.56/203,422.84
  6. Step 6: Final answer
    x = 155,632.39

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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.