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Finding the Fourth Proportional to 109,940.20, 164,813.10 and 65,519.80

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Solution

The fourth proportional to 109,940.20, 164,813.10 and 65,519.80 is: 98,221.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,940.20 : 164,813.10 = 65,519.80 : x
  2. Step 2: Convert to fraction form
    109,940.20/164,813.10 = 65,519.80/x
  3. Step 3: Cross multiply
    109,940.20x = 164,813.10 × 65,519.80
  4. Step 4: Simplify right side
    109,940.20x = 10,798,521,349.38
  5. Step 5: Solve for x
    x = 10,798,521,349.38/109,940.20
  6. Step 6: Final answer
    x = 98,221.77

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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.