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Finding the Fourth Proportional to 203,706, 281,122.92 and 114,282

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Solution

The fourth proportional to 203,706, 281,122.92 and 114,282 is: 157,714.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,706 : 281,122.92 = 114,282 : x
  2. Step 2: Convert to fraction form
    203,706/281,122.92 = 114,282/x
  3. Step 3: Cross multiply
    203,706x = 281,122.92 × 114,282
  4. Step 4: Simplify right side
    203,706x = 32,127,289,543.44
  5. Step 5: Solve for x
    x = 32,127,289,543.44/203,706
  6. Step 6: Final answer
    x = 157,714.01

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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.