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Finding the Fourth Proportional to 206,424.60, 309,544.82 and 71,501.28

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Solution

The fourth proportional to 206,424.60, 309,544.82 and 71,501.28 is: 107,220.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,424.60 : 309,544.82 = 71,501.28 : x
  2. Step 2: Convert to fraction form
    206,424.60/309,544.82 = 71,501.28/x
  3. Step 3: Cross multiply
    206,424.60x = 309,544.82 × 71,501.28
  4. Step 4: Simplify right side
    206,424.60x = 22,132,850,847.37
  5. Step 5: Solve for x
    x = 22,132,850,847.37/206,424.60
  6. Step 6: Final answer
    x = 107,220.03

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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.