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Finding the Fourth Proportional to 203,494.88, 280,822.95 and 112,864.70

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Solution

The fourth proportional to 203,494.88, 280,822.95 and 112,864.70 is: 155,753.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,494.88 : 280,822.95 = 112,864.70 : x
  2. Step 2: Convert to fraction form
    203,494.88/280,822.95 = 112,864.70/x
  3. Step 3: Cross multiply
    203,494.88x = 280,822.95 × 112,864.70
  4. Step 4: Simplify right side
    203,494.88x = 31,694,996,600.75
  5. Step 5: Solve for x
    x = 31,694,996,600.75/203,494.88
  6. Step 6: Final answer
    x = 155,753.29

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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.