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Finding the Fourth Proportional to 147,968, 204,195.84 and 80,900

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Solution

The fourth proportional to 147,968, 204,195.84 and 80,900 is: 111,642

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,968 : 204,195.84 = 80,900 : x
  2. Step 2: Convert to fraction form
    147,968/204,195.84 = 80,900/x
  3. Step 3: Cross multiply
    147,968x = 204,195.84 × 80,900
  4. Step 4: Simplify right side
    147,968x = 16,519,443,456
  5. Step 5: Solve for x
    x = 16,519,443,456/147,968
  6. Step 6: Final answer
    x = 111,642

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.