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Finding the Fourth Proportional to 207,963.56, 312,083.70 and 113,217.64

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Solution

The fourth proportional to 207,963.56, 312,083.70 and 113,217.64 is: 169,901.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,963.56 : 312,083.70 = 113,217.64 : x
  2. Step 2: Convert to fraction form
    207,963.56/312,083.70 = 113,217.64/x
  3. Step 3: Cross multiply
    207,963.56x = 312,083.70 × 113,217.64
  4. Step 4: Simplify right side
    207,963.56x = 35,333,379,996.47
  5. Step 5: Solve for x
    x = 35,333,379,996.47/207,963.56
  6. Step 6: Final answer
    x = 169,901.78

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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.