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Finding the Fourth Proportional to 136,137.78, 204,232.64 and 51,890.90

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Solution

The fourth proportional to 136,137.78, 204,232.64 and 51,890.90 is: 77,846.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,137.78 : 204,232.64 = 51,890.90 : x
  2. Step 2: Convert to fraction form
    136,137.78/204,232.64 = 51,890.90/x
  3. Step 3: Cross multiply
    136,137.78x = 204,232.64 × 51,890.90
  4. Step 4: Simplify right side
    136,137.78x = 10,597,815,498.98
  5. Step 5: Solve for x
    x = 10,597,815,498.98/136,137.78
  6. Step 6: Final answer
    x = 77,846.25

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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.