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Finding the Fourth Proportional to 207,761.40, 311,787.90 and 133,063.20

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Solution

The fourth proportional to 207,761.40, 311,787.90 and 133,063.20 is: 199,688.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,761.40 : 311,787.90 = 133,063.20 : x
  2. Step 2: Convert to fraction form
    207,761.40/311,787.90 = 133,063.20/x
  3. Step 3: Cross multiply
    207,761.40x = 311,787.90 × 133,063.20
  4. Step 4: Simplify right side
    207,761.40x = 41,487,495,695.28
  5. Step 5: Solve for x
    x = 41,487,495,695.28/207,761.40
  6. Step 6: Final answer
    x = 199,688.18

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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.