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Finding the Fourth Proportional to 55,111.50, 76,055.09 and 29,961

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Solution

The fourth proportional to 55,111.50, 76,055.09 and 29,961 is: 41,346.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,111.50 : 76,055.09 = 29,961 : x
  2. Step 2: Convert to fraction form
    55,111.50/76,055.09 = 29,961/x
  3. Step 3: Cross multiply
    55,111.50x = 76,055.09 × 29,961
  4. Step 4: Simplify right side
    55,111.50x = 2,278,686,401.69
  5. Step 5: Solve for x
    x = 2,278,686,401.69/55,111.50
  6. Step 6: Final answer
    x = 41,346.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.