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Finding the Fourth Proportional to 206,065.80, 309,019.32 and 72,921.24

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Solution

The fourth proportional to 206,065.80, 309,019.32 and 72,921.24 is: 109,353.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,065.80 : 309,019.32 = 72,921.24 : x
  2. Step 2: Convert to fraction form
    206,065.80/309,019.32 = 72,921.24/x
  3. Step 3: Cross multiply
    206,065.80x = 309,019.32 × 72,921.24
  4. Step 4: Simplify right side
    206,065.80x = 22,534,071,998.36
  5. Step 5: Solve for x
    x = 22,534,071,998.36/206,065.80
  6. Step 6: Final answer
    x = 109,353.77

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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.