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Finding the Fourth Proportional to 125,828, 188,771.16 and 42,722

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Solution

The fourth proportional to 125,828, 188,771.16 and 42,722 is: 64,092.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,828 : 188,771.16 = 42,722 : x
  2. Step 2: Convert to fraction form
    125,828/188,771.16 = 42,722/x
  3. Step 3: Cross multiply
    125,828x = 188,771.16 × 42,722
  4. Step 4: Simplify right side
    125,828x = 8,064,681,497.52
  5. Step 5: Solve for x
    x = 8,064,681,497.52/125,828
  6. Step 6: Final answer
    x = 64,092.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.