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Finding the Fourth Proportional to 76,890.84, 106,043.10 and 50,023.56

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Solution

The fourth proportional to 76,890.84, 106,043.10 and 50,023.56 is: 68,989.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,890.84 : 106,043.10 = 50,023.56 : x
  2. Step 2: Convert to fraction form
    76,890.84/106,043.10 = 50,023.56/x
  3. Step 3: Cross multiply
    76,890.84x = 106,043.10 × 50,023.56
  4. Step 4: Simplify right side
    76,890.84x = 5,304,653,375.44
  5. Step 5: Solve for x
    x = 5,304,653,375.44/76,890.84
  6. Step 6: Final answer
    x = 68,989.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.