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Finding the Fourth Proportional to 215,827.72, 323,744.70 and 82,714.72

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Solution

The fourth proportional to 215,827.72, 323,744.70 and 82,714.72 is: 124,073.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,827.72 : 323,744.70 = 82,714.72 : x
  2. Step 2: Convert to fraction form
    215,827.72/323,744.70 = 82,714.72/x
  3. Step 3: Cross multiply
    215,827.72x = 323,744.70 × 82,714.72
  4. Step 4: Simplify right side
    215,827.72x = 26,778,452,211.98
  5. Step 5: Solve for x
    x = 26,778,452,211.98/215,827.72
  6. Step 6: Final answer
    x = 124,073.28

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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.