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Finding the Fourth Proportional to 214,505.99, 321,843.74 and 81,421.58

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Solution

The fourth proportional to 214,505.99, 321,843.74 and 81,421.58 is: 122,164.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,505.99 : 321,843.74 = 81,421.58 : x
  2. Step 2: Convert to fraction form
    214,505.99/321,843.74 = 81,421.58/x
  3. Step 3: Cross multiply
    214,505.99x = 321,843.74 × 81,421.58
  4. Step 4: Simplify right side
    214,505.99x = 26,205,024,869.04
  5. Step 5: Solve for x
    x = 26,205,024,869.04/214,505.99
  6. Step 6: Final answer
    x = 122,164.53

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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.