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Finding the Fourth Proportional to 206,816.79, 310,275.09 and 71,861.22

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Solution

The fourth proportional to 206,816.79, 310,275.09 and 71,861.22 is: 107,809.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,816.79 : 310,275.09 = 71,861.22 : x
  2. Step 2: Convert to fraction form
    206,816.79/310,275.09 = 71,861.22/x
  3. Step 3: Cross multiply
    206,816.79x = 310,275.09 × 71,861.22
  4. Step 4: Simplify right side
    206,816.79x = 22,296,746,503.01
  5. Step 5: Solve for x
    x = 22,296,746,503.01/206,816.79
  6. Step 6: Final answer
    x = 107,809.17

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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.