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Finding the Fourth Proportional to 215,943.40, 323,817.90 and 82,779.40

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Solution

The fourth proportional to 215,943.40, 323,817.90 and 82,779.40 is: 124,131.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,943.40 : 323,817.90 = 82,779.40 : x
  2. Step 2: Convert to fraction form
    215,943.40/323,817.90 = 82,779.40/x
  3. Step 3: Cross multiply
    215,943.40x = 323,817.90 × 82,779.40
  4. Step 4: Simplify right side
    215,943.40x = 26,805,451,471.26
  5. Step 5: Solve for x
    x = 26,805,451,471.26/215,943.40
  6. Step 6: Final answer
    x = 124,131.84

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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.