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Finding the Fourth Proportional to 51,998.34, 78,007.22 and 20,836.02

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Solution

The fourth proportional to 51,998.34, 78,007.22 and 20,836.02 is: 31,257.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,998.34 : 78,007.22 = 20,836.02 : x
  2. Step 2: Convert to fraction form
    51,998.34/78,007.22 = 20,836.02/x
  3. Step 3: Cross multiply
    51,998.34x = 78,007.22 × 20,836.02
  4. Step 4: Simplify right side
    51,998.34x = 1,625,359,658.12
  5. Step 5: Solve for x
    x = 1,625,359,658.12/51,998.34
  6. Step 6: Final answer
    x = 31,257.92

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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.