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Finding the Fourth Proportional to 205,878.60, 309,336.30 and 131,034.60

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Solution

The fourth proportional to 205,878.60, 309,336.30 and 131,034.60 is: 196,881.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,878.60 : 309,336.30 = 131,034.60 : x
  2. Step 2: Convert to fraction form
    205,878.60/309,336.30 = 131,034.60/x
  3. Step 3: Cross multiply
    205,878.60x = 309,336.30 × 131,034.60
  4. Step 4: Simplify right side
    205,878.60x = 40,533,758,335.98
  5. Step 5: Solve for x
    x = 40,533,758,335.98/205,878.60
  6. Step 6: Final answer
    x = 196,881.84

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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.