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Finding the Fourth Proportional to 102,137.80, 140,949.78 and 59,687.92

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Solution

The fourth proportional to 102,137.80, 140,949.78 and 59,687.92 is: 82,369.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,137.80 : 140,949.78 = 59,687.92 : x
  2. Step 2: Convert to fraction form
    102,137.80/140,949.78 = 59,687.92/x
  3. Step 3: Cross multiply
    102,137.80x = 140,949.78 × 59,687.92
  4. Step 4: Simplify right side
    102,137.80x = 8,412,999,192.66
  5. Step 5: Solve for x
    x = 8,412,999,192.66/102,137.80
  6. Step 6: Final answer
    x = 82,369.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.