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Finding the Fourth Proportional to 209,968.25, 314,984.10 and 67,766

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Solution

The fourth proportional to 209,968.25, 314,984.10 and 67,766 is: 101,659.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,968.25 : 314,984.10 = 67,766 : x
  2. Step 2: Convert to fraction form
    209,968.25/314,984.10 = 67,766/x
  3. Step 3: Cross multiply
    209,968.25x = 314,984.10 × 67,766
  4. Step 4: Simplify right side
    209,968.25x = 21,345,212,520.60
  5. Step 5: Solve for x
    x = 21,345,212,520.60/209,968.25
  6. Step 6: Final answer
    x = 101,659.24

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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.