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Finding the Fourth Proportional to 81,897.66, 122,820.33 and 31,965.60

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Solution

The fourth proportional to 81,897.66, 122,820.33 and 31,965.60 is: 47,938.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,897.66 : 122,820.33 = 31,965.60 : x
  2. Step 2: Convert to fraction form
    81,897.66/122,820.33 = 31,965.60/x
  3. Step 3: Cross multiply
    81,897.66x = 122,820.33 × 31,965.60
  4. Step 4: Simplify right side
    81,897.66x = 3,926,025,540.65
  5. Step 5: Solve for x
    x = 3,926,025,540.65/81,897.66
  6. Step 6: Final answer
    x = 47,938.19

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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.