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Finding the Fourth Proportional to 135,710.75, 203,358.53 and 72,539.86

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Solution

The fourth proportional to 135,710.75, 203,358.53 and 72,539.86 is: 108,698.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,710.75 : 203,358.53 = 72,539.86 : x
  2. Step 2: Convert to fraction form
    135,710.75/203,358.53 = 72,539.86/x
  3. Step 3: Cross multiply
    135,710.75x = 203,358.53 × 72,539.86
  4. Step 4: Simplify right side
    135,710.75x = 14,751,599,296.01
  5. Step 5: Solve for x
    x = 14,751,599,296.01/135,710.75
  6. Step 6: Final answer
    x = 108,698.83

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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.