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Finding the Fourth Proportional to 57,772.50, 86,658.78 and 20,836.50

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Solution

The fourth proportional to 57,772.50, 86,658.78 and 20,836.50 is: 31,254.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,772.50 : 86,658.78 = 20,836.50 : x
  2. Step 2: Convert to fraction form
    57,772.50/86,658.78 = 20,836.50/x
  3. Step 3: Cross multiply
    57,772.50x = 86,658.78 × 20,836.50
  4. Step 4: Simplify right side
    57,772.50x = 1,805,665,669.47
  5. Step 5: Solve for x
    x = 1,805,665,669.47/57,772.50
  6. Step 6: Final answer
    x = 31,254.76

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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.