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Finding the Fourth Proportional to 203,610.92, 280,973.55 and 112,965.92

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Solution

The fourth proportional to 203,610.92, 280,973.55 and 112,965.92 is: 155,887.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,610.92 : 280,973.55 = 112,965.92 : x
  2. Step 2: Convert to fraction form
    203,610.92/280,973.55 = 112,965.92/x
  3. Step 3: Cross multiply
    203,610.92x = 280,973.55 × 112,965.92
  4. Step 4: Simplify right side
    203,610.92x = 31,740,435,571.42
  5. Step 5: Solve for x
    x = 31,740,435,571.42/203,610.92
  6. Step 6: Final answer
    x = 155,887.69

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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.