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Finding the Fourth Proportional to 137,722.80, 206,572.05 and 37,874.10

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Solution

The fourth proportional to 137,722.80, 206,572.05 and 37,874.10 is: 56,807.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,722.80 : 206,572.05 = 37,874.10 : x
  2. Step 2: Convert to fraction form
    137,722.80/206,572.05 = 37,874.10/x
  3. Step 3: Cross multiply
    137,722.80x = 206,572.05 × 37,874.10
  4. Step 4: Simplify right side
    137,722.80x = 7,823,730,478.91
  5. Step 5: Solve for x
    x = 7,823,730,478.91/137,722.80
  6. Step 6: Final answer
    x = 56,807.81

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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.