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Finding the Fourth Proportional to 206,539.98, 309,739.80 and 71,572.56

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Solution

The fourth proportional to 206,539.98, 309,739.80 and 71,572.56 is: 107,334.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,539.98 : 309,739.80 = 71,572.56 : x
  2. Step 2: Convert to fraction form
    206,539.98/309,739.80 = 71,572.56/x
  3. Step 3: Cross multiply
    206,539.98x = 309,739.80 × 71,572.56
  4. Step 4: Simplify right side
    206,539.98x = 22,168,870,419.89
  5. Step 5: Solve for x
    x = 22,168,870,419.89/206,539.98
  6. Step 6: Final answer
    x = 107,334.52

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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.