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Finding the Fourth Proportional to 209,485.80, 314,241.66 and 104,198.76

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Solution

The fourth proportional to 209,485.80, 314,241.66 and 104,198.76 is: 156,304.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,485.80 : 314,241.66 = 104,198.76 : x
  2. Step 2: Convert to fraction form
    209,485.80/314,241.66 = 104,198.76/x
  3. Step 3: Cross multiply
    209,485.80x = 314,241.66 × 104,198.76
  4. Step 4: Simplify right side
    209,485.80x = 32,743,591,312.34
  5. Step 5: Solve for x
    x = 32,743,591,312.34/209,485.80
  6. Step 6: Final answer
    x = 156,304.59

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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.