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Finding the Fourth Proportional to 271,787.52, 407,666.88 and 84,777.60

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Solution

The fourth proportional to 271,787.52, 407,666.88 and 84,777.60 is: 127,161.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,787.52 : 407,666.88 = 84,777.60 : x
  2. Step 2: Convert to fraction form
    271,787.52/407,666.88 = 84,777.60/x
  3. Step 3: Cross multiply
    271,787.52x = 407,666.88 × 84,777.60
  4. Step 4: Simplify right side
    271,787.52x = 34,561,019,685.89
  5. Step 5: Solve for x
    x = 34,561,019,685.89/271,787.52
  6. Step 6: Final answer
    x = 127,161.91

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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.