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Finding the Fourth Proportional to 137,808.84, 206,596.62 and 54,657.48

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Solution

The fourth proportional to 137,808.84, 206,596.62 and 54,657.48 is: 81,939.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,808.84 : 206,596.62 = 54,657.48 : x
  2. Step 2: Convert to fraction form
    137,808.84/206,596.62 = 54,657.48/x
  3. Step 3: Cross multiply
    137,808.84x = 206,596.62 × 54,657.48
  4. Step 4: Simplify right side
    137,808.84x = 11,292,050,625.72
  5. Step 5: Solve for x
    x = 11,292,050,625.72/137,808.84
  6. Step 6: Final answer
    x = 81,939.96

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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.