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Finding the Fourth Proportional to 203,202.71, 280,407.39 and 112,553.38

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Solution

The fourth proportional to 203,202.71, 280,407.39 and 112,553.38 is: 155,316.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,202.71 : 280,407.39 = 112,553.38 : x
  2. Step 2: Convert to fraction form
    203,202.71/280,407.39 = 112,553.38/x
  3. Step 3: Cross multiply
    203,202.71x = 280,407.39 × 112,553.38
  4. Step 4: Simplify right side
    203,202.71x = 31,560,799,449.91
  5. Step 5: Solve for x
    x = 31,560,799,449.91/203,202.71
  6. Step 6: Final answer
    x = 155,316.82

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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.