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Finding the Fourth Proportional to 76,787.88, 115,181.84 and 30,007.96

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Solution

The fourth proportional to 76,787.88, 115,181.84 and 30,007.96 is: 45,011.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,787.88 : 115,181.84 = 30,007.96 : x
  2. Step 2: Convert to fraction form
    76,787.88/115,181.84 = 30,007.96/x
  3. Step 3: Cross multiply
    76,787.88x = 115,181.84 × 30,007.96
  4. Step 4: Simplify right side
    76,787.88x = 3,456,372,047.45
  5. Step 5: Solve for x
    x = 3,456,372,047.45/76,787.88
  6. Step 6: Final answer
    x = 45,011.95

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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.