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Finding the Fourth Proportional to 215,914.40, 323,641.20 and 82,743.20

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Solution

The fourth proportional to 215,914.40, 323,641.20 and 82,743.20 is: 124,026.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,914.40 : 323,641.20 = 82,743.20 : x
  2. Step 2: Convert to fraction form
    215,914.40/323,641.20 = 82,743.20/x
  3. Step 3: Cross multiply
    215,914.40x = 323,641.20 × 82,743.20
  4. Step 4: Simplify right side
    215,914.40x = 26,779,108,539.84
  5. Step 5: Solve for x
    x = 26,779,108,539.84/215,914.40
  6. Step 6: Final answer
    x = 124,026.51

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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.