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Finding the Fourth Proportional to 47,129.92, 70,676.16 and 20,816

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Solution

The fourth proportional to 47,129.92, 70,676.16 and 20,816 is: 31,215.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,129.92 : 70,676.16 = 20,816 : x
  2. Step 2: Convert to fraction form
    47,129.92/70,676.16 = 20,816/x
  3. Step 3: Cross multiply
    47,129.92x = 70,676.16 × 20,816
  4. Step 4: Simplify right side
    47,129.92x = 1,471,194,946.56
  5. Step 5: Solve for x
    x = 1,471,194,946.56/47,129.92
  6. Step 6: Final answer
    x = 31,215.73

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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.