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Finding the Fourth Proportional to 70,827.83, 106,253.29 and 20,912.98

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Solution

The fourth proportional to 70,827.83, 106,253.29 and 20,912.98 is: 31,372.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,827.83 : 106,253.29 = 20,912.98 : x
  2. Step 2: Convert to fraction form
    70,827.83/106,253.29 = 20,912.98/x
  3. Step 3: Cross multiply
    70,827.83x = 106,253.29 × 20,912.98
  4. Step 4: Simplify right side
    70,827.83x = 2,222,072,610.79
  5. Step 5: Solve for x
    x = 2,222,072,610.79/70,827.83
  6. Step 6: Final answer
    x = 31,372.87

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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.