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Finding the Fourth Proportional to 55,314, 76,333.32 and 30,163.68

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Solution

The fourth proportional to 55,314, 76,333.32 and 30,163.68 is: 41,625.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,314 : 76,333.32 = 30,163.68 : x
  2. Step 2: Convert to fraction form
    55,314/76,333.32 = 30,163.68/x
  3. Step 3: Cross multiply
    55,314x = 76,333.32 × 30,163.68
  4. Step 4: Simplify right side
    55,314x = 2,302,493,837.82
  5. Step 5: Solve for x
    x = 2,302,493,837.82/55,314
  6. Step 6: Final answer
    x = 41,625.88

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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.