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Finding the Fourth Proportional to 55,138.50, 76,091.22 and 29,988

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Solution

The fourth proportional to 55,138.50, 76,091.22 and 29,988 is: 41,383.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,138.50 : 76,091.22 = 29,988 : x
  2. Step 2: Convert to fraction form
    55,138.50/76,091.22 = 29,988/x
  3. Step 3: Cross multiply
    55,138.50x = 76,091.22 × 29,988
  4. Step 4: Simplify right side
    55,138.50x = 2,281,823,505.36
  5. Step 5: Solve for x
    x = 2,281,823,505.36/55,138.50
  6. Step 6: Final answer
    x = 41,383.49

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Why These Related Problems?

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