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Finding the Fourth Proportional to 205,871.60, 309,325.80 and 131,027.60

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Solution

The fourth proportional to 205,871.60, 309,325.80 and 131,027.60 is: 196,871.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,871.60 : 309,325.80 = 131,027.60 : x
  2. Step 2: Convert to fraction form
    205,871.60/309,325.80 = 131,027.60/x
  3. Step 3: Cross multiply
    205,871.60x = 309,325.80 × 131,027.60
  4. Step 4: Simplify right side
    205,871.60x = 40,530,217,192.08
  5. Step 5: Solve for x
    x = 40,530,217,192.08/205,871.60
  6. Step 6: Final answer
    x = 196,871.34

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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.