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Finding the Fourth Proportional to 207,910.60, 311,865.90 and 102,934.60

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Solution

The fourth proportional to 207,910.60, 311,865.90 and 102,934.60 is: 154,401.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,910.60 : 311,865.90 = 102,934.60 : x
  2. Step 2: Convert to fraction form
    207,910.60/311,865.90 = 102,934.60/x
  3. Step 3: Cross multiply
    207,910.60x = 311,865.90 × 102,934.60
  4. Step 4: Simplify right side
    207,910.60x = 32,101,791,670.14
  5. Step 5: Solve for x
    x = 32,101,791,670.14/207,910.60
  6. Step 6: Final answer
    x = 154,401.90

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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.