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Finding the Fourth Proportional to 84,650.87, 126,864.89 and 47,228.56

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Solution

The fourth proportional to 84,650.87, 126,864.89 and 47,228.56 is: 70,780.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,650.87 : 126,864.89 = 47,228.56 : x
  2. Step 2: Convert to fraction form
    84,650.87/126,864.89 = 47,228.56/x
  3. Step 3: Cross multiply
    84,650.87x = 126,864.89 × 47,228.56
  4. Step 4: Simplify right side
    84,650.87x = 5,991,645,870.17
  5. Step 5: Solve for x
    x = 5,991,645,870.17/84,650.87
  6. Step 6: Final answer
    x = 70,780.68

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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.