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Finding the Fourth Proportional to 203,412.82, 305,139.73 and 53,663.46

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Solution

The fourth proportional to 203,412.82, 305,139.73 and 53,663.46 is: 80,500.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,412.82 : 305,139.73 = 53,663.46 : x
  2. Step 2: Convert to fraction form
    203,412.82/305,139.73 = 53,663.46/x
  3. Step 3: Cross multiply
    203,412.82x = 305,139.73 × 53,663.46
  4. Step 4: Simplify right side
    203,412.82x = 16,374,853,695.27
  5. Step 5: Solve for x
    x = 16,374,853,695.27/203,412.82
  6. Step 6: Final answer
    x = 80,500.60

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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.