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Finding the Fourth Proportional to 81,425.54, 122,133.69 and 24,498.25

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Solution

The fourth proportional to 81,425.54, 122,133.69 and 24,498.25 is: 36,745.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,425.54 : 122,133.69 = 24,498.25 : x
  2. Step 2: Convert to fraction form
    81,425.54/122,133.69 = 24,498.25/x
  3. Step 3: Cross multiply
    81,425.54x = 122,133.69 × 24,498.25
  4. Step 4: Simplify right side
    81,425.54x = 2,992,061,365.71
  5. Step 5: Solve for x
    x = 2,992,061,365.71/81,425.54
  6. Step 6: Final answer
    x = 36,745.98

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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.