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Finding the Fourth Proportional to 55,152.56, 76,110.56 and 30,002

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Solution

The fourth proportional to 55,152.56, 76,110.56 and 30,002 is: 41,402.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,152.56 : 76,110.56 = 30,002 : x
  2. Step 2: Convert to fraction form
    55,152.56/76,110.56 = 30,002/x
  3. Step 3: Cross multiply
    55,152.56x = 76,110.56 × 30,002
  4. Step 4: Simplify right side
    55,152.56x = 2,283,469,021.12
  5. Step 5: Solve for x
    x = 2,283,469,021.12/55,152.56
  6. Step 6: Final answer
    x = 41,402.77

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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.