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Finding the Fourth Proportional to 137,874.47, 206,828.37 and 49,136.94

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Solution

The fourth proportional to 137,874.47, 206,828.37 and 49,136.94 is: 73,711.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,874.47 : 206,828.37 = 49,136.94 : x
  2. Step 2: Convert to fraction form
    137,874.47/206,828.37 = 49,136.94/x
  3. Step 3: Cross multiply
    137,874.47x = 206,828.37 × 49,136.94
  4. Step 4: Simplify right side
    137,874.47x = 10,162,913,206.99
  5. Step 5: Solve for x
    x = 10,162,913,206.99/137,874.47
  6. Step 6: Final answer
    x = 73,711.35

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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.