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Finding the Fourth Proportional to 55,542, 76,647.96 and 30,391.50

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Solution

The fourth proportional to 55,542, 76,647.96 and 30,391.50 is: 41,940.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,542 : 76,647.96 = 30,391.50 : x
  2. Step 2: Convert to fraction form
    55,542/76,647.96 = 30,391.50/x
  3. Step 3: Cross multiply
    55,542x = 76,647.96 × 30,391.50
  4. Step 4: Simplify right side
    55,542x = 2,329,446,476.34
  5. Step 5: Solve for x
    x = 2,329,446,476.34/55,542
  6. Step 6: Final answer
    x = 41,940.27

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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.