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Finding the Fourth Proportional to 81,970.30, 122,938.65 and 22,791.10

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Solution

The fourth proportional to 81,970.30, 122,938.65 and 22,791.10 is: 34,181.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,970.30 : 122,938.65 = 22,791.10 : x
  2. Step 2: Convert to fraction form
    81,970.30/122,938.65 = 22,791.10/x
  3. Step 3: Cross multiply
    81,970.30x = 122,938.65 × 22,791.10
  4. Step 4: Simplify right side
    81,970.30x = 2,801,907,066.02
  5. Step 5: Solve for x
    x = 2,801,907,066.02/81,970.30
  6. Step 6: Final answer
    x = 34,181.98

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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.