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Finding the Fourth Proportional to 311,851.35, 467,772.87 and 75,192.12

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Solution

The fourth proportional to 311,851.35, 467,772.87 and 75,192.12 is: 112,787.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,851.35 : 467,772.87 = 75,192.12 : x
  2. Step 2: Convert to fraction form
    311,851.35/467,772.87 = 75,192.12/x
  3. Step 3: Cross multiply
    311,851.35x = 467,772.87 × 75,192.12
  4. Step 4: Simplify right side
    311,851.35x = 35,172,833,773.78
  5. Step 5: Solve for x
    x = 35,172,833,773.78/311,851.35
  6. Step 6: Final answer
    x = 112,787.18

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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.