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Finding the Fourth Proportional to 271,874.10, 407,811.15 and 72,225.30

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Solution

The fourth proportional to 271,874.10, 407,811.15 and 72,225.30 is: 108,337.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,874.10 : 407,811.15 = 72,225.30 : x
  2. Step 2: Convert to fraction form
    271,874.10/407,811.15 = 72,225.30/x
  3. Step 3: Cross multiply
    271,874.10x = 407,811.15 × 72,225.30
  4. Step 4: Simplify right side
    271,874.10x = 29,454,282,652.10
  5. Step 5: Solve for x
    x = 29,454,282,652.10/271,874.10
  6. Step 6: Final answer
    x = 108,337.95

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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.