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Finding the Fourth Proportional to 209,047.76, 313,592.40 and 66,857.32

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Solution

The fourth proportional to 209,047.76, 313,592.40 and 66,857.32 is: 100,292.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,047.76 : 313,592.40 = 66,857.32 : x
  2. Step 2: Convert to fraction form
    209,047.76/313,592.40 = 66,857.32/x
  3. Step 3: Cross multiply
    209,047.76x = 313,592.40 × 66,857.32
  4. Step 4: Simplify right side
    209,047.76x = 20,965,947,436.37
  5. Step 5: Solve for x
    x = 20,965,947,436.37/209,047.76
  6. Step 6: Final answer
    x = 100,292.62

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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.