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Finding the Fourth Proportional to 131,187, 196,813.74 and 37,692.78

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Solution

The fourth proportional to 131,187, 196,813.74 and 37,692.78 is: 56,548.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,187 : 196,813.74 = 37,692.78 : x
  2. Step 2: Convert to fraction form
    131,187/196,813.74 = 37,692.78/x
  3. Step 3: Cross multiply
    131,187x = 196,813.74 × 37,692.78
  4. Step 4: Simplify right side
    131,187x = 7,418,457,002.80
  5. Step 5: Solve for x
    x = 7,418,457,002.80/131,187
  6. Step 6: Final answer
    x = 56,548.72

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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.