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Finding the Fourth Proportional to 137,967.32, 206,872.92 and 47,968.63

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Solution

The fourth proportional to 137,967.32, 206,872.92 and 47,968.63 is: 71,925.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,967.32 : 206,872.92 = 47,968.63 : x
  2. Step 2: Convert to fraction form
    137,967.32/206,872.92 = 47,968.63/x
  3. Step 3: Cross multiply
    137,967.32x = 206,872.92 × 47,968.63
  4. Step 4: Simplify right side
    137,967.32x = 9,923,410,039.32
  5. Step 5: Solve for x
    x = 9,923,410,039.32/137,967.32
  6. Step 6: Final answer
    x = 71,925.80

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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.