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Finding the Fourth Proportional to 125,388, 188,092.94 and 31,893.75

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Solution

The fourth proportional to 125,388, 188,092.94 and 31,893.75 is: 47,843.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,388 : 188,092.94 = 31,893.75 : x
  2. Step 2: Convert to fraction form
    125,388/188,092.94 = 31,893.75/x
  3. Step 3: Cross multiply
    125,388x = 188,092.94 × 31,893.75
  4. Step 4: Simplify right side
    125,388x = 5,998,989,045.66
  5. Step 5: Solve for x
    x = 5,998,989,045.66/125,388
  6. Step 6: Final answer
    x = 47,843.41

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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.