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Finding the Fourth Proportional to 205,909.24, 308,798.10 and 65,635

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Solution

The fourth proportional to 205,909.24, 308,798.10 and 65,635 is: 98,431.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,909.24 : 308,798.10 = 65,635 : x
  2. Step 2: Convert to fraction form
    205,909.24/308,798.10 = 65,635/x
  3. Step 3: Cross multiply
    205,909.24x = 308,798.10 × 65,635
  4. Step 4: Simplify right side
    205,909.24x = 20,267,963,293.50
  5. Step 5: Solve for x
    x = 20,267,963,293.50/205,909.24
  6. Step 6: Final answer
    x = 98,431.54

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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.