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Finding the Fourth Proportional to 207,640.10, 311,344.95 and 82,840.10

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Solution

The fourth proportional to 207,640.10, 311,344.95 and 82,840.10 is: 124,214.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,640.10 : 311,344.95 = 82,840.10 : x
  2. Step 2: Convert to fraction form
    207,640.10/311,344.95 = 82,840.10/x
  3. Step 3: Cross multiply
    207,640.10x = 311,344.95 × 82,840.10
  4. Step 4: Simplify right side
    207,640.10x = 25,791,846,792.50
  5. Step 5: Solve for x
    x = 25,791,846,792.50/207,640.10
  6. Step 6: Final answer
    x = 124,214.19

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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.