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Finding the Fourth Proportional to 203,610.42, 280,972.86 and 112,965.42

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Solution

The fourth proportional to 203,610.42, 280,972.86 and 112,965.42 is: 155,887.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,610.42 : 280,972.86 = 112,965.42 : x
  2. Step 2: Convert to fraction form
    203,610.42/280,972.86 = 112,965.42/x
  3. Step 3: Cross multiply
    203,610.42x = 280,972.86 × 112,965.42
  4. Step 4: Simplify right side
    203,610.42x = 31,740,217,138.50
  5. Step 5: Solve for x
    x = 31,740,217,138.50/203,610.42
  6. Step 6: Final answer
    x = 155,887.00

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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.