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Finding the Fourth Proportional to 209,573.22, 314,359.92 and 69,331.84

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Solution

The fourth proportional to 209,573.22, 314,359.92 and 69,331.84 is: 103,997.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,573.22 : 314,359.92 = 69,331.84 : x
  2. Step 2: Convert to fraction form
    209,573.22/314,359.92 = 69,331.84/x
  3. Step 3: Cross multiply
    209,573.22x = 314,359.92 × 69,331.84
  4. Step 4: Simplify right side
    209,573.22x = 21,795,151,675.85
  5. Step 5: Solve for x
    x = 21,795,151,675.85/209,573.22
  6. Step 6: Final answer
    x = 103,997.79

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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.