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Finding the Fourth Proportional to 271,915.92, 407,873.88 and 84,942

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Solution

The fourth proportional to 271,915.92, 407,873.88 and 84,942 is: 127,413

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,915.92 : 407,873.88 = 84,942 : x
  2. Step 2: Convert to fraction form
    271,915.92/407,873.88 = 84,942/x
  3. Step 3: Cross multiply
    271,915.92x = 407,873.88 × 84,942
  4. Step 4: Simplify right side
    271,915.92x = 34,645,623,114.96
  5. Step 5: Solve for x
    x = 34,645,623,114.96/271,915.92
  6. Step 6: Final answer
    x = 127,413

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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.