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Finding the Fourth Proportional to 178,979.80, 268,239.30 and 137,219.80

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Solution

The fourth proportional to 178,979.80, 268,239.30 and 137,219.80 is: 205,653.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,979.80 : 268,239.30 = 137,219.80 : x
  2. Step 2: Convert to fraction form
    178,979.80/268,239.30 = 137,219.80/x
  3. Step 3: Cross multiply
    178,979.80x = 268,239.30 × 137,219.80
  4. Step 4: Simplify right side
    178,979.80x = 36,807,743,098.14
  5. Step 5: Solve for x
    x = 36,807,743,098.14/178,979.80
  6. Step 6: Final answer
    x = 205,653.06

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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.