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Finding the Fourth Proportional to 178,998.28, 268,393.02 and 138,456.52

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Solution

The fourth proportional to 178,998.28, 268,393.02 and 138,456.52 is: 207,604.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,998.28 : 268,393.02 = 138,456.52 : x
  2. Step 2: Convert to fraction form
    178,998.28/268,393.02 = 138,456.52/x
  3. Step 3: Cross multiply
    178,998.28x = 268,393.02 × 138,456.52
  4. Step 4: Simplify right side
    178,998.28x = 37,160,763,541.49
  5. Step 5: Solve for x
    x = 37,160,763,541.49/178,998.28
  6. Step 6: Final answer
    x = 207,604.03

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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.