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Finding the Fourth Proportional to 47,164.80, 70,722.85 and 13,880.54

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Solution

The fourth proportional to 47,164.80, 70,722.85 and 13,880.54 is: 20,813.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,164.80 : 70,722.85 = 13,880.54 : x
  2. Step 2: Convert to fraction form
    47,164.80/70,722.85 = 13,880.54/x
  3. Step 3: Cross multiply
    47,164.80x = 70,722.85 × 13,880.54
  4. Step 4: Simplify right side
    47,164.80x = 981,671,278.94
  5. Step 5: Solve for x
    x = 981,671,278.94/47,164.80
  6. Step 6: Final answer
    x = 20,813.64

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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.