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Finding the Fourth Proportional to 209,957.80, 315,033.90 and 110,230.60

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Solution

The fourth proportional to 209,957.80, 315,033.90 and 110,230.60 is: 165,396.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,957.80 : 315,033.90 = 110,230.60 : x
  2. Step 2: Convert to fraction form
    209,957.80/315,033.90 = 110,230.60/x
  3. Step 3: Cross multiply
    209,957.80x = 315,033.90 × 110,230.60
  4. Step 4: Simplify right side
    209,957.80x = 34,726,375,817.34
  5. Step 5: Solve for x
    x = 34,726,375,817.34/209,957.80
  6. Step 6: Final answer
    x = 165,396.93

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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.