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Finding the Fourth Proportional to 271,499.95, 407,308.46 and 81,944.46

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Solution

The fourth proportional to 271,499.95, 407,308.46 and 81,944.46 is: 122,934.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,499.95 : 407,308.46 = 81,944.46 : x
  2. Step 2: Convert to fraction form
    271,499.95/407,308.46 = 81,944.46/x
  3. Step 3: Cross multiply
    271,499.95x = 407,308.46 × 81,944.46
  4. Step 4: Simplify right side
    271,499.95x = 33,376,669,361.87
  5. Step 5: Solve for x
    x = 33,376,669,361.87/271,499.95
  6. Step 6: Final answer
    x = 122,934.35

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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.