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Finding the Fourth Proportional to 208,787.82, 313,180.74 and 75,636.90

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Solution

The fourth proportional to 208,787.82, 313,180.74 and 75,636.90 is: 113,454.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,787.82 : 313,180.74 = 75,636.90 : x
  2. Step 2: Convert to fraction form
    208,787.82/313,180.74 = 75,636.90/x
  3. Step 3: Cross multiply
    208,787.82x = 313,180.74 × 75,636.90
  4. Step 4: Simplify right side
    208,787.82x = 23,688,020,313.31
  5. Step 5: Solve for x
    x = 23,688,020,313.31/208,787.82
  6. Step 6: Final answer
    x = 113,454.99

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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.