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Finding the Fourth Proportional to 203,418.72, 280,734.41 and 112,803.10

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Solution

The fourth proportional to 203,418.72, 280,734.41 and 112,803.10 is: 155,677.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,418.72 : 280,734.41 = 112,803.10 : x
  2. Step 2: Convert to fraction form
    203,418.72/280,734.41 = 112,803.10/x
  3. Step 3: Cross multiply
    203,418.72x = 280,734.41 × 112,803.10
  4. Step 4: Simplify right side
    203,418.72x = 31,667,711,724.67
  5. Step 5: Solve for x
    x = 31,667,711,724.67/203,418.72
  6. Step 6: Final answer
    x = 155,677.47

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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.