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Finding the Fourth Proportional to 207,882.60, 311,823.90 and 102,906.60

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Solution

The fourth proportional to 207,882.60, 311,823.90 and 102,906.60 is: 154,359.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,882.60 : 311,823.90 = 102,906.60 : x
  2. Step 2: Convert to fraction form
    207,882.60/311,823.90 = 102,906.60/x
  3. Step 3: Cross multiply
    207,882.60x = 311,823.90 × 102,906.60
  4. Step 4: Simplify right side
    207,882.60x = 32,088,737,347.74
  5. Step 5: Solve for x
    x = 32,088,737,347.74/207,882.60
  6. Step 6: Final answer
    x = 154,359.90

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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.