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Finding the Fourth Proportional to 271,815.12, 407,690.99 and 72,151.02

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Solution

The fourth proportional to 271,815.12, 407,690.99 and 72,151.02 is: 108,218.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,815.12 : 407,690.99 = 72,151.02 : x
  2. Step 2: Convert to fraction form
    271,815.12/407,690.99 = 72,151.02/x
  3. Step 3: Cross multiply
    271,815.12x = 407,690.99 × 72,151.02
  4. Step 4: Simplify right side
    271,815.12x = 29,415,320,683.12
  5. Step 5: Solve for x
    x = 29,415,320,683.12/271,815.12
  6. Step 6: Final answer
    x = 108,218.12

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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.