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Finding the Fourth Proportional to 203,197.76, 280,409.94 and 112,553.42

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Solution

The fourth proportional to 203,197.76, 280,409.94 and 112,553.42 is: 155,322.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,197.76 : 280,409.94 = 112,553.42 : x
  2. Step 2: Convert to fraction form
    203,197.76/280,409.94 = 112,553.42/x
  3. Step 3: Cross multiply
    203,197.76x = 280,409.94 × 112,553.42
  4. Step 4: Simplify right side
    203,197.76x = 31,561,098,450.02
  5. Step 5: Solve for x
    x = 31,561,098,450.02/203,197.76
  6. Step 6: Final answer
    x = 155,322.08

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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.