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Finding the Fourth Proportional to 209,006, 313,520.88 and 66,863.76

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Solution

The fourth proportional to 209,006, 313,520.88 and 66,863.76 is: 100,299.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,006 : 313,520.88 = 66,863.76 : x
  2. Step 2: Convert to fraction form
    209,006/313,520.88 = 66,863.76/x
  3. Step 3: Cross multiply
    209,006x = 313,520.88 × 66,863.76
  4. Step 4: Simplify right side
    209,006x = 20,963,184,875.31
  5. Step 5: Solve for x
    x = 20,963,184,875.31/209,006
  6. Step 6: Final answer
    x = 100,299.44

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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.