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Finding the Fourth Proportional to 209,712.75, 314,619 and 67,571.47

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Solution

The fourth proportional to 209,712.75, 314,619 and 67,571.47 is: 101,373.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,712.75 : 314,619 = 67,571.47 : x
  2. Step 2: Convert to fraction form
    209,712.75/314,619 = 67,571.47/x
  3. Step 3: Cross multiply
    209,712.75x = 314,619 × 67,571.47
  4. Step 4: Simplify right side
    209,712.75x = 21,259,268,319.93
  5. Step 5: Solve for x
    x = 21,259,268,319.93/209,712.75
  6. Step 6: Final answer
    x = 101,373.28

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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.