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Finding the Fourth Proportional to 271,515.71, 407,114.83 and 81,919.21

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Solution

The fourth proportional to 271,515.71, 407,114.83 and 81,919.21 is: 122,830.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,515.71 : 407,114.83 = 81,919.21 : x
  2. Step 2: Convert to fraction form
    271,515.71/407,114.83 = 81,919.21/x
  3. Step 3: Cross multiply
    271,515.71x = 407,114.83 × 81,919.21
  4. Step 4: Simplify right side
    271,515.71x = 33,350,525,903.74
  5. Step 5: Solve for x
    x = 33,350,525,903.74/271,515.71
  6. Step 6: Final answer
    x = 122,830.93

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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.