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Finding the Fourth Proportional to 51,183, 76,785.12 and 21,601.08

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Solution

The fourth proportional to 51,183, 76,785.12 and 21,601.08 is: 32,406.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,183 : 76,785.12 = 21,601.08 : x
  2. Step 2: Convert to fraction form
    51,183/76,785.12 = 21,601.08/x
  3. Step 3: Cross multiply
    51,183x = 76,785.12 × 21,601.08
  4. Step 4: Simplify right side
    51,183x = 1,658,641,519.93
  5. Step 5: Solve for x
    x = 1,658,641,519.93/51,183
  6. Step 6: Final answer
    x = 32,406.10

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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.