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Finding the Fourth Proportional to 192,636.80, 288,566.40 and 133,539.20

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Solution

The fourth proportional to 192,636.80, 288,566.40 and 133,539.20 is: 200,039.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,636.80 : 288,566.40 = 133,539.20 : x
  2. Step 2: Convert to fraction form
    192,636.80/288,566.40 = 133,539.20/x
  3. Step 3: Cross multiply
    192,636.80x = 288,566.40 × 133,539.20
  4. Step 4: Simplify right side
    192,636.80x = 38,534,926,202.88
  5. Step 5: Solve for x
    x = 38,534,926,202.88/192,636.80
  6. Step 6: Final answer
    x = 200,039.28

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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.