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Finding the Fourth Proportional to 281,224.62, 421,863.93 and 78,820.83

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Solution

The fourth proportional to 281,224.62, 421,863.93 and 78,820.83 is: 118,238.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,224.62 : 421,863.93 = 78,820.83 : x
  2. Step 2: Convert to fraction form
    281,224.62/421,863.93 = 78,820.83/x
  3. Step 3: Cross multiply
    281,224.62x = 421,863.93 × 78,820.83
  4. Step 4: Simplify right side
    281,224.62x = 33,251,665,109.66
  5. Step 5: Solve for x
    x = 33,251,665,109.66/281,224.62
  6. Step 6: Final answer
    x = 118,238.81

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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.