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Finding the Fourth Proportional to 238,202.28, 356,836.28 and 138,152.30

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Solution

The fourth proportional to 238,202.28, 356,836.28 and 138,152.30 is: 206,957.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,202.28 : 356,836.28 = 138,152.30 : x
  2. Step 2: Convert to fraction form
    238,202.28/356,836.28 = 138,152.30/x
  3. Step 3: Cross multiply
    238,202.28x = 356,836.28 × 138,152.30
  4. Step 4: Simplify right side
    238,202.28x = 49,297,750,330.50
  5. Step 5: Solve for x
    x = 49,297,750,330.50/238,202.28
  6. Step 6: Final answer
    x = 206,957.51

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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.