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Finding the Fourth Proportional to 137,679.60, 206,436.30 and 61,764.30

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Solution

The fourth proportional to 137,679.60, 206,436.30 and 61,764.30 is: 92,609.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,679.60 : 206,436.30 = 61,764.30 : x
  2. Step 2: Convert to fraction form
    137,679.60/206,436.30 = 61,764.30/x
  3. Step 3: Cross multiply
    137,679.60x = 206,436.30 × 61,764.30
  4. Step 4: Simplify right side
    137,679.60x = 12,750,393,564.09
  5. Step 5: Solve for x
    x = 12,750,393,564.09/137,679.60
  6. Step 6: Final answer
    x = 92,609.17

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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.