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Finding the Fourth Proportional to 135,967.20, 203,950.80 and 86,103.60

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Solution

The fourth proportional to 135,967.20, 203,950.80 and 86,103.60 is: 129,155.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,967.20 : 203,950.80 = 86,103.60 : x
  2. Step 2: Convert to fraction form
    135,967.20/203,950.80 = 86,103.60/x
  3. Step 3: Cross multiply
    135,967.20x = 203,950.80 × 86,103.60
  4. Step 4: Simplify right side
    135,967.20x = 17,560,898,102.88
  5. Step 5: Solve for x
    x = 17,560,898,102.88/135,967.20
  6. Step 6: Final answer
    x = 129,155.40

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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.