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Finding the Fourth Proportional to 207,670.10, 311,505.15 and 102,694.10

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Solution

The fourth proportional to 207,670.10, 311,505.15 and 102,694.10 is: 154,041.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,670.10 : 311,505.15 = 102,694.10 : x
  2. Step 2: Convert to fraction form
    207,670.10/311,505.15 = 102,694.10/x
  3. Step 3: Cross multiply
    207,670.10x = 311,505.15 × 102,694.10
  4. Step 4: Simplify right side
    207,670.10x = 31,989,741,024.62
  5. Step 5: Solve for x
    x = 31,989,741,024.62/207,670.10
  6. Step 6: Final answer
    x = 154,041.15

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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.