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Finding the Fourth Proportional to 123,605.60, 185,481.30 and 81,607.10

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Solution

The fourth proportional to 123,605.60, 185,481.30 and 81,607.10 is: 122,458.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,605.60 : 185,481.30 = 81,607.10 : x
  2. Step 2: Convert to fraction form
    123,605.60/185,481.30 = 81,607.10/x
  3. Step 3: Cross multiply
    123,605.60x = 185,481.30 × 81,607.10
  4. Step 4: Simplify right side
    123,605.60x = 15,136,590,997.23
  5. Step 5: Solve for x
    x = 15,136,590,997.23/123,605.60
  6. Step 6: Final answer
    x = 122,458.78

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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.