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Finding the Fourth Proportional to 137,942.80, 206,992.77 and 53,692.07

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Solution

The fourth proportional to 137,942.80, 206,992.77 and 53,692.07 is: 80,568.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,942.80 : 206,992.77 = 53,692.07 : x
  2. Step 2: Convert to fraction form
    137,942.80/206,992.77 = 53,692.07/x
  3. Step 3: Cross multiply
    137,942.80x = 206,992.77 × 53,692.07
  4. Step 4: Simplify right side
    137,942.80x = 11,113,869,060.02
  5. Step 5: Solve for x
    x = 11,113,869,060.02/137,942.80
  6. Step 6: Final answer
    x = 80,568.68

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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.