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Finding the Fourth Proportional to 131,958, 182,027.52 and 78,190.20

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Solution

The fourth proportional to 131,958, 182,027.52 and 78,190.20 is: 107,858.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,958 : 182,027.52 = 78,190.20 : x
  2. Step 2: Convert to fraction form
    131,958/182,027.52 = 78,190.20/x
  3. Step 3: Cross multiply
    131,958x = 182,027.52 × 78,190.20
  4. Step 4: Simplify right side
    131,958x = 14,232,768,194.30
  5. Step 5: Solve for x
    x = 14,232,768,194.30/131,958
  6. Step 6: Final answer
    x = 107,858.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.