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Finding the Fourth Proportional to 271,491, 407,294.98 and 81,935.50

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Solution

The fourth proportional to 271,491, 407,294.98 and 81,935.50 is: 122,920.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,491 : 407,294.98 = 81,935.50 : x
  2. Step 2: Convert to fraction form
    271,491/407,294.98 = 81,935.50/x
  3. Step 3: Cross multiply
    271,491x = 407,294.98 × 81,935.50
  4. Step 4: Simplify right side
    271,491x = 33,371,917,833.79
  5. Step 5: Solve for x
    x = 33,371,917,833.79/271,491
  6. Step 6: Final answer
    x = 122,920.90

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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.