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Finding the Fourth Proportional to 123,180.58, 184,722 and 42,107.41

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Solution

The fourth proportional to 123,180.58, 184,722 and 42,107.41 is: 63,144.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,180.58 : 184,722 = 42,107.41 : x
  2. Step 2: Convert to fraction form
    123,180.58/184,722 = 42,107.41/x
  3. Step 3: Cross multiply
    123,180.58x = 184,722 × 42,107.41
  4. Step 4: Simplify right side
    123,180.58x = 7,778,164,990.02
  5. Step 5: Solve for x
    x = 7,778,164,990.02/123,180.58
  6. Step 6: Final answer
    x = 63,144.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.