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Finding the Fourth Proportional to 125,625, 188,523.90 and 51,753

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Solution

The fourth proportional to 125,625, 188,523.90 and 51,753 is: 77,665.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,625 : 188,523.90 = 51,753 : x
  2. Step 2: Convert to fraction form
    125,625/188,523.90 = 51,753/x
  3. Step 3: Cross multiply
    125,625x = 188,523.90 × 51,753
  4. Step 4: Simplify right side
    125,625x = 9,756,677,396.70
  5. Step 5: Solve for x
    x = 9,756,677,396.70/125,625
  6. Step 6: Final answer
    x = 77,665.09

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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.