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Finding the Fourth Proportional to 214,507.80, 321,866.66 and 86,418.76

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Solution

The fourth proportional to 214,507.80, 321,866.66 and 86,418.76 is: 129,670.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,507.80 : 321,866.66 = 86,418.76 : x
  2. Step 2: Convert to fraction form
    214,507.80/321,866.66 = 86,418.76/x
  3. Step 3: Cross multiply
    214,507.80x = 321,866.66 × 86,418.76
  4. Step 4: Simplify right side
    214,507.80x = 27,815,317,642.54
  5. Step 5: Solve for x
    x = 27,815,317,642.54/214,507.80
  6. Step 6: Final answer
    x = 129,670.43

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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.