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Finding the Fourth Proportional to 137,381.86, 206,086.78 and 47,412.87

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Solution

The fourth proportional to 137,381.86, 206,086.78 and 47,412.87 is: 71,124.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,381.86 : 206,086.78 = 47,412.87 : x
  2. Step 2: Convert to fraction form
    137,381.86/206,086.78 = 47,412.87/x
  3. Step 3: Cross multiply
    137,381.86x = 206,086.78 × 47,412.87
  4. Step 4: Simplify right side
    137,381.86x = 9,771,165,105.37
  5. Step 5: Solve for x
    x = 9,771,165,105.37/137,381.86
  6. Step 6: Final answer
    x = 71,124.13

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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.