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Finding the Fourth Proportional to 215,794.60, 323,789.10 and 103,431.40

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Solution

The fourth proportional to 215,794.60, 323,789.10 and 103,431.40 is: 155,193.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,794.60 : 323,789.10 = 103,431.40 : x
  2. Step 2: Convert to fraction form
    215,794.60/323,789.10 = 103,431.40/x
  3. Step 3: Cross multiply
    215,794.60x = 323,789.10 × 103,431.40
  4. Step 4: Simplify right side
    215,794.60x = 33,489,959,917.74
  5. Step 5: Solve for x
    x = 33,489,959,917.74/215,794.60
  6. Step 6: Final answer
    x = 155,193.69

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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.