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Finding the Fourth Proportional to 203,516.79, 305,289.77 and 53,755.59

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Solution

The fourth proportional to 203,516.79, 305,289.77 and 53,755.59 is: 80,637.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,516.79 : 305,289.77 = 53,755.59 : x
  2. Step 2: Convert to fraction form
    203,516.79/305,289.77 = 53,755.59/x
  3. Step 3: Cross multiply
    203,516.79x = 305,289.77 × 53,755.59
  4. Step 4: Simplify right side
    203,516.79x = 16,411,031,438.54
  5. Step 5: Solve for x
    x = 16,411,031,438.54/203,516.79
  6. Step 6: Final answer
    x = 80,637.24

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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.