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Finding the Fourth Proportional to 137,411.80, 205,997.70 and 53,229.40

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Solution

The fourth proportional to 137,411.80, 205,997.70 and 53,229.40 is: 79,797.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,411.80 : 205,997.70 = 53,229.40 : x
  2. Step 2: Convert to fraction form
    137,411.80/205,997.70 = 53,229.40/x
  3. Step 3: Cross multiply
    137,411.80x = 205,997.70 × 53,229.40
  4. Step 4: Simplify right side
    137,411.80x = 10,965,133,972.38
  5. Step 5: Solve for x
    x = 10,965,133,972.38/137,411.80
  6. Step 6: Final answer
    x = 79,797.62

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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.