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Finding the Fourth Proportional to 271,991.12, 407,821.64 and 103,522.86

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Solution

The fourth proportional to 271,991.12, 407,821.64 and 103,522.86 is: 155,221.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,991.12 : 407,821.64 = 103,522.86 : x
  2. Step 2: Convert to fraction form
    271,991.12/407,821.64 = 103,522.86/x
  3. Step 3: Cross multiply
    271,991.12x = 407,821.64 × 103,522.86
  4. Step 4: Simplify right side
    271,991.12x = 42,218,862,025.08
  5. Step 5: Solve for x
    x = 42,218,862,025.08/271,991.12
  6. Step 6: Final answer
    x = 155,221.47

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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.