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Finding the Fourth Proportional to 203,889, 281,366.82 and 114,465

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Solution

The fourth proportional to 203,889, 281,366.82 and 114,465 is: 157,961.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,889 : 281,366.82 = 114,465 : x
  2. Step 2: Convert to fraction form
    203,889/281,366.82 = 114,465/x
  3. Step 3: Cross multiply
    203,889x = 281,366.82 × 114,465
  4. Step 4: Simplify right side
    203,889x = 32,206,653,051.30
  5. Step 5: Solve for x
    x = 32,206,653,051.30/203,889
  6. Step 6: Final answer
    x = 157,961.70

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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.