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Finding the Fourth Proportional to 203,788, 281,253.36 and 114,364

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Solution

The fourth proportional to 203,788, 281,253.36 and 114,364 is: 157,836.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,788 : 281,253.36 = 114,364 : x
  2. Step 2: Convert to fraction form
    203,788/281,253.36 = 114,364/x
  3. Step 3: Cross multiply
    203,788x = 281,253.36 × 114,364
  4. Step 4: Simplify right side
    203,788x = 32,165,259,263.04
  5. Step 5: Solve for x
    x = 32,165,259,263.04/203,788
  6. Step 6: Final answer
    x = 157,836.87

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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.