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Finding the Fourth Proportional to 137,871.86, 206,841.04 and 47,901.47

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Solution

The fourth proportional to 137,871.86, 206,841.04 and 47,901.47 is: 71,863.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,871.86 : 206,841.04 = 47,901.47 : x
  2. Step 2: Convert to fraction form
    137,871.86/206,841.04 = 47,901.47/x
  3. Step 3: Cross multiply
    137,871.86x = 206,841.04 × 47,901.47
  4. Step 4: Simplify right side
    137,871.86x = 9,907,989,872.33
  5. Step 5: Solve for x
    x = 9,907,989,872.33/137,871.86
  6. Step 6: Final answer
    x = 71,863.76

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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.