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Finding the Fourth Proportional to 76,912.10, 107,414.50 and 76,912.10

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Solution

The fourth proportional to 76,912.10, 107,414.50 and 76,912.10 is: 107,414.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,912.10 : 107,414.50 = 76,912.10 : x
  2. Step 2: Convert to fraction form
    76,912.10/107,414.50 = 76,912.10/x
  3. Step 3: Cross multiply
    76,912.10x = 107,414.50 × 76,912.10
  4. Step 4: Simplify right side
    76,912.10x = 8,261,474,765.45
  5. Step 5: Solve for x
    x = 8,261,474,765.45/76,912.10
  6. Step 6: Final answer
    x = 107,414.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.