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Finding the Fourth Proportional to 178,984.30, 268,246.05 and 137,224.30

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Solution

The fourth proportional to 178,984.30, 268,246.05 and 137,224.30 is: 205,659.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,984.30 : 268,246.05 = 137,224.30 : x
  2. Step 2: Convert to fraction form
    178,984.30/268,246.05 = 137,224.30/x
  3. Step 3: Cross multiply
    178,984.30x = 268,246.05 × 137,224.30
  4. Step 4: Simplify right side
    178,984.30x = 36,809,876,439.02
  5. Step 5: Solve for x
    x = 36,809,876,439.02/178,984.30
  6. Step 6: Final answer
    x = 205,659.81

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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.