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Finding the Fourth Proportional to 109,805.80, 164,751.90 and 43,234.60

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Solution

The fourth proportional to 109,805.80, 164,751.90 and 43,234.60 is: 64,868.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,805.80 : 164,751.90 = 43,234.60 : x
  2. Step 2: Convert to fraction form
    109,805.80/164,751.90 = 43,234.60/x
  3. Step 3: Cross multiply
    109,805.80x = 164,751.90 × 43,234.60
  4. Step 4: Simplify right side
    109,805.80x = 7,122,982,495.74
  5. Step 5: Solve for x
    x = 7,122,982,495.74/109,805.80
  6. Step 6: Final answer
    x = 64,868.91

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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.