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Finding the Fourth Proportional to 209,847.67, 314,832.81 and 67,689.80

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Solution

The fourth proportional to 209,847.67, 314,832.81 and 67,689.80 is: 101,554.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,847.67 : 314,832.81 = 67,689.80 : x
  2. Step 2: Convert to fraction form
    209,847.67/314,832.81 = 67,689.80/x
  3. Step 3: Cross multiply
    209,847.67x = 314,832.81 × 67,689.80
  4. Step 4: Simplify right side
    209,847.67x = 21,310,968,346.03
  5. Step 5: Solve for x
    x = 21,310,968,346.03/209,847.67
  6. Step 6: Final answer
    x = 101,554.47

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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.