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Finding the Fourth Proportional to 203,399.82, 280,657.30 and 135,518.04

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Solution

The fourth proportional to 203,399.82, 280,657.30 and 135,518.04 is: 186,991.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,399.82 : 280,657.30 = 135,518.04 : x
  2. Step 2: Convert to fraction form
    203,399.82/280,657.30 = 135,518.04/x
  3. Step 3: Cross multiply
    203,399.82x = 280,657.30 × 135,518.04
  4. Step 4: Simplify right side
    203,399.82x = 38,034,127,207.69
  5. Step 5: Solve for x
    x = 38,034,127,207.69/203,399.82
  6. Step 6: Final answer
    x = 186,991.94

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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.