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Finding the Fourth Proportional to 271,703.10, 407,572.65 and 72,020.70

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Solution

The fourth proportional to 271,703.10, 407,572.65 and 72,020.70 is: 108,035.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,703.10 : 407,572.65 = 72,020.70 : x
  2. Step 2: Convert to fraction form
    271,703.10/407,572.65 = 72,020.70/x
  3. Step 3: Cross multiply
    271,703.10x = 407,572.65 × 72,020.70
  4. Step 4: Simplify right side
    271,703.10x = 29,353,667,553.86
  5. Step 5: Solve for x
    x = 29,353,667,553.86/271,703.10
  6. Step 6: Final answer
    x = 108,035.82

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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.