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Finding the Fourth Proportional to 207,902.55, 311,892.30 and 65,783.61

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Solution

The fourth proportional to 207,902.55, 311,892.30 and 65,783.61 is: 98,687.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,902.55 : 311,892.30 = 65,783.61 : x
  2. Step 2: Convert to fraction form
    207,902.55/311,892.30 = 65,783.61/x
  3. Step 3: Cross multiply
    207,902.55x = 311,892.30 × 65,783.61
  4. Step 4: Simplify right side
    207,902.55x = 20,517,401,425.20
  5. Step 5: Solve for x
    x = 20,517,401,425.20/207,902.55
  6. Step 6: Final answer
    x = 98,687.59

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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.