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Finding the Fourth Proportional to 137,994.30, 206,882.10 and 75,664.80

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Solution

The fourth proportional to 137,994.30, 206,882.10 and 75,664.80 is: 113,437.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,994.30 : 206,882.10 = 75,664.80 : x
  2. Step 2: Convert to fraction form
    137,994.30/206,882.10 = 75,664.80/x
  3. Step 3: Cross multiply
    137,994.30x = 206,882.10 × 75,664.80
  4. Step 4: Simplify right side
    137,994.30x = 15,653,692,720.08
  5. Step 5: Solve for x
    x = 15,653,692,720.08/137,994.30
  6. Step 6: Final answer
    x = 113,437.24

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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.