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Finding the Fourth Proportional to 209,040.76, 313,581.90 and 66,850.31

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Solution

The fourth proportional to 209,040.76, 313,581.90 and 66,850.31 is: 100,282.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,040.76 : 313,581.90 = 66,850.31 : x
  2. Step 2: Convert to fraction form
    209,040.76/313,581.90 = 66,850.31/x
  3. Step 3: Cross multiply
    209,040.76x = 313,581.90 × 66,850.31
  4. Step 4: Simplify right side
    209,040.76x = 20,963,047,225.39
  5. Step 5: Solve for x
    x = 20,963,047,225.39/209,040.76
  6. Step 6: Final answer
    x = 100,282.10

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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.