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Finding the Fourth Proportional to 281,092.86, 421,611.84 and 154,691.55

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Solution

The fourth proportional to 281,092.86, 421,611.84 and 154,691.55 is: 232,022.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,092.86 : 421,611.84 = 154,691.55 : x
  2. Step 2: Convert to fraction form
    281,092.86/421,611.84 = 154,691.55/x
  3. Step 3: Cross multiply
    281,092.86x = 421,611.84 × 154,691.55
  4. Step 4: Simplify right side
    281,092.86x = 65,219,789,027.95
  5. Step 5: Solve for x
    x = 65,219,789,027.95/281,092.86
  6. Step 6: Final answer
    x = 232,022.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.