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Finding the Fourth Proportional to 203,501.97, 280,822.95 and 112,850.82

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Solution

The fourth proportional to 203,501.97, 280,822.95 and 112,850.82 is: 155,728.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,501.97 : 280,822.95 = 112,850.82 : x
  2. Step 2: Convert to fraction form
    203,501.97/280,822.95 = 112,850.82/x
  3. Step 3: Cross multiply
    203,501.97x = 280,822.95 × 112,850.82
  4. Step 4: Simplify right side
    203,501.97x = 31,691,100,182.32
  5. Step 5: Solve for x
    x = 31,691,100,182.32/203,501.97
  6. Step 6: Final answer
    x = 155,728.71

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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.