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Finding the Fourth Proportional to 205,979.08, 308,770.98 and 65,646.04

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Solution

The fourth proportional to 205,979.08, 308,770.98 and 65,646.04 is: 98,406.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,979.08 : 308,770.98 = 65,646.04 : x
  2. Step 2: Convert to fraction form
    205,979.08/308,770.98 = 65,646.04/x
  3. Step 3: Cross multiply
    205,979.08x = 308,770.98 × 65,646.04
  4. Step 4: Simplify right side
    205,979.08x = 20,269,592,103.92
  5. Step 5: Solve for x
    x = 20,269,592,103.92/205,979.08
  6. Step 6: Final answer
    x = 98,406.07

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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.