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Finding the Fourth Proportional to 215,889.60, 323,856 and 66,128.16

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Solution

The fourth proportional to 215,889.60, 323,856 and 66,128.16 is: 99,198.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,889.60 : 323,856 = 66,128.16 : x
  2. Step 2: Convert to fraction form
    215,889.60/323,856 = 66,128.16/x
  3. Step 3: Cross multiply
    215,889.60x = 323,856 × 66,128.16
  4. Step 4: Simplify right side
    215,889.60x = 21,416,001,384.96
  5. Step 5: Solve for x
    x = 21,416,001,384.96/215,889.60
  6. Step 6: Final answer
    x = 99,198.86

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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.