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Finding the Fourth Proportional to 239,001.44, 329,785.44 and 138,380

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Solution

The fourth proportional to 239,001.44, 329,785.44 and 138,380 is: 190,943.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,001.44 : 329,785.44 = 138,380 : x
  2. Step 2: Convert to fraction form
    239,001.44/329,785.44 = 138,380/x
  3. Step 3: Cross multiply
    239,001.44x = 329,785.44 × 138,380
  4. Step 4: Simplify right side
    239,001.44x = 45,635,709,187.20
  5. Step 5: Solve for x
    x = 45,635,709,187.20/239,001.44
  6. Step 6: Final answer
    x = 190,943.24

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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.