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Finding the Fourth Proportional to 55,173, 76,138.74 and 30,022.68

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Solution

The fourth proportional to 55,173, 76,138.74 and 30,022.68 is: 41,431.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,173 : 76,138.74 = 30,022.68 : x
  2. Step 2: Convert to fraction form
    55,173/76,138.74 = 30,022.68/x
  3. Step 3: Cross multiply
    55,173x = 76,138.74 × 30,022.68
  4. Step 4: Simplify right side
    55,173x = 2,285,889,026.62
  5. Step 5: Solve for x
    x = 2,285,889,026.62/55,173
  6. Step 6: Final answer
    x = 41,431.30

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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.