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Finding the Fourth Proportional to 215,842.56, 323,579.21 and 82,818.28

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Solution

The fourth proportional to 215,842.56, 323,579.21 and 82,818.28 is: 124,156.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,842.56 : 323,579.21 = 82,818.28 : x
  2. Step 2: Convert to fraction form
    215,842.56/323,579.21 = 82,818.28/x
  3. Step 3: Cross multiply
    215,842.56x = 323,579.21 × 82,818.28
  4. Step 4: Simplify right side
    215,842.56x = 26,798,273,606.34
  5. Step 5: Solve for x
    x = 26,798,273,606.34/215,842.56
  6. Step 6: Final answer
    x = 124,156.58

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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.