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Finding the Fourth Proportional to 214,594.31, 321,891.49 and 81,474.63

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Solution

The fourth proportional to 214,594.31, 321,891.49 and 81,474.63 is: 122,211.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,594.31 : 321,891.49 = 81,474.63 : x
  2. Step 2: Convert to fraction form
    214,594.31/321,891.49 = 81,474.63/x
  3. Step 3: Cross multiply
    214,594.31x = 321,891.49 × 81,474.63
  4. Step 4: Simplify right side
    214,594.31x = 26,225,991,372.17
  5. Step 5: Solve for x
    x = 26,225,991,372.17/214,594.31
  6. Step 6: Final answer
    x = 122,211.96

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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.