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Finding the Fourth Proportional to 209,713.75, 314,620.50 and 67,572.47

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Solution

The fourth proportional to 209,713.75, 314,620.50 and 67,572.47 is: 101,374.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,713.75 : 314,620.50 = 67,572.47 : x
  2. Step 2: Convert to fraction form
    209,713.75/314,620.50 = 67,572.47/x
  3. Step 3: Cross multiply
    209,713.75x = 314,620.50 × 67,572.47
  4. Step 4: Simplify right side
    209,713.75x = 21,259,684,297.64
  5. Step 5: Solve for x
    x = 21,259,684,297.64/209,713.75
  6. Step 6: Final answer
    x = 101,374.78

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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.