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Finding the Fourth Proportional to 55,578, 76,697.64 and 30,427.56

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Solution

The fourth proportional to 55,578, 76,697.64 and 30,427.56 is: 41,990.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,578 : 76,697.64 = 30,427.56 : x
  2. Step 2: Convert to fraction form
    55,578/76,697.64 = 30,427.56/x
  3. Step 3: Cross multiply
    55,578x = 76,697.64 × 30,427.56
  4. Step 4: Simplify right side
    55,578x = 2,333,722,042.96
  5. Step 5: Solve for x
    x = 2,333,722,042.96/55,578
  6. Step 6: Final answer
    x = 41,990.03

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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.