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Finding the Fourth Proportional to 197,327.31, 295,965.32 and 78,999.81

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Solution

The fourth proportional to 197,327.31, 295,965.32 and 78,999.81 is: 118,489.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,327.31 : 295,965.32 = 78,999.81 : x
  2. Step 2: Convert to fraction form
    197,327.31/295,965.32 = 78,999.81/x
  3. Step 3: Cross multiply
    197,327.31x = 295,965.32 × 78,999.81
  4. Step 4: Simplify right side
    197,327.31x = 23,381,203,651.59
  5. Step 5: Solve for x
    x = 23,381,203,651.59/197,327.31
  6. Step 6: Final answer
    x = 118,489.45

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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.