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Finding the Fourth Proportional to 47,164.92, 70,723.03 and 13,880.66

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Solution

The fourth proportional to 47,164.92, 70,723.03 and 13,880.66 is: 20,813.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,164.92 : 70,723.03 = 13,880.66 : x
  2. Step 2: Convert to fraction form
    47,164.92/70,723.03 = 13,880.66/x
  3. Step 3: Cross multiply
    47,164.92x = 70,723.03 × 13,880.66
  4. Step 4: Simplify right side
    47,164.92x = 981,682,333.60
  5. Step 5: Solve for x
    x = 981,682,333.60/47,164.92
  6. Step 6: Final answer
    x = 20,813.82

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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.