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Finding the Fourth Proportional to 205,873.60, 309,328.80 and 131,029.60

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Solution

The fourth proportional to 205,873.60, 309,328.80 and 131,029.60 is: 196,874.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,873.60 : 309,328.80 = 131,029.60 : x
  2. Step 2: Convert to fraction form
    205,873.60/309,328.80 = 131,029.60/x
  3. Step 3: Cross multiply
    205,873.60x = 309,328.80 × 131,029.60
  4. Step 4: Simplify right side
    205,873.60x = 40,531,228,932.48
  5. Step 5: Solve for x
    x = 40,531,228,932.48/205,873.60
  6. Step 6: Final answer
    x = 196,874.34

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1.5x scale

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.