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Finding the Fourth Proportional to 55,170, 76,135.82 and 30,019.50

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Solution

The fourth proportional to 55,170, 76,135.82 and 30,019.50 is: 41,427.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,170 : 76,135.82 = 30,019.50 : x
  2. Step 2: Convert to fraction form
    55,170/76,135.82 = 30,019.50/x
  3. Step 3: Cross multiply
    55,170x = 76,135.82 × 30,019.50
  4. Step 4: Simplify right side
    55,170x = 2,285,559,098.39
  5. Step 5: Solve for x
    x = 2,285,559,098.39/55,170
  6. Step 6: Final answer
    x = 41,427.57

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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.