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Finding the Fourth Proportional to 205,870.60, 309,324.30 and 131,026.60

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Solution

The fourth proportional to 205,870.60, 309,324.30 and 131,026.60 is: 196,869.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,870.60 : 309,324.30 = 131,026.60 : x
  2. Step 2: Convert to fraction form
    205,870.60/309,324.30 = 131,026.60/x
  3. Step 3: Cross multiply
    205,870.60x = 309,324.30 × 131,026.60
  4. Step 4: Simplify right side
    205,870.60x = 40,529,711,326.38
  5. Step 5: Solve for x
    x = 40,529,711,326.38/205,870.60
  6. Step 6: Final answer
    x = 196,869.84

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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.