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Finding the Fourth Proportional to 271,813.96, 407,689.27 and 72,149.86

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Solution

The fourth proportional to 271,813.96, 407,689.27 and 72,149.86 is: 108,216.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,813.96 : 407,689.27 = 72,149.86 : x
  2. Step 2: Convert to fraction form
    271,813.96/407,689.27 = 72,149.86/x
  3. Step 3: Cross multiply
    271,813.96x = 407,689.27 × 72,149.86
  4. Step 4: Simplify right side
    271,813.96x = 29,414,724,967.18
  5. Step 5: Solve for x
    x = 29,414,724,967.18/271,813.96
  6. Step 6: Final answer
    x = 108,216.39

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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.