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Finding the Fourth Proportional to 214,741.31, 322,040.42 and 86,624.51

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Solution

The fourth proportional to 214,741.31, 322,040.42 and 86,624.51 is: 129,907.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,741.31 : 322,040.42 = 86,624.51 : x
  2. Step 2: Convert to fraction form
    214,741.31/322,040.42 = 86,624.51/x
  3. Step 3: Cross multiply
    214,741.31x = 322,040.42 × 86,624.51
  4. Step 4: Simplify right side
    214,741.31x = 27,896,591,539.37
  5. Step 5: Solve for x
    x = 27,896,591,539.37/214,741.31
  6. Step 6: Final answer
    x = 129,907.90

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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.