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Finding the Fourth Proportional to 167,991.30, 252,023.45 and 78,089.20

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Solution

The fourth proportional to 167,991.30, 252,023.45 and 78,089.20 is: 117,150.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,991.30 : 252,023.45 = 78,089.20 : x
  2. Step 2: Convert to fraction form
    167,991.30/252,023.45 = 78,089.20/x
  3. Step 3: Cross multiply
    167,991.30x = 252,023.45 × 78,089.20
  4. Step 4: Simplify right side
    167,991.30x = 19,680,308,571.24
  5. Step 5: Solve for x
    x = 19,680,308,571.24/167,991.30
  6. Step 6: Final answer
    x = 117,150.76

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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.