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Finding the Fourth Proportional to 100,001.28, 137,912.28 and 82,978.44

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Solution

The fourth proportional to 100,001.28, 137,912.28 and 82,978.44 is: 114,435.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,001.28 : 137,912.28 = 82,978.44 : x
  2. Step 2: Convert to fraction form
    100,001.28/137,912.28 = 82,978.44/x
  3. Step 3: Cross multiply
    100,001.28x = 137,912.28 × 82,978.44
  4. Step 4: Simplify right side
    100,001.28x = 11,443,745,851.24
  5. Step 5: Solve for x
    x = 11,443,745,851.24/100,001.28
  6. Step 6: Final answer
    x = 114,435.99

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1.5x scale

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.