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Finding the Fourth Proportional to 214,761.41, 321,999.92 and 102,458.96

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Solution

The fourth proportional to 214,761.41, 321,999.92 and 102,458.96 is: 153,620.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,761.41 : 321,999.92 = 102,458.96 : x
  2. Step 2: Convert to fraction form
    214,761.41/321,999.92 = 102,458.96/x
  3. Step 3: Cross multiply
    214,761.41x = 321,999.92 × 102,458.96
  4. Step 4: Simplify right side
    214,761.41x = 32,991,774,800.99
  5. Step 5: Solve for x
    x = 32,991,774,800.99/214,761.41
  6. Step 6: Final answer
    x = 153,620.59

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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.