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Finding the Fourth Proportional to 55,751.50, 76,935.80 and 30,257.91

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Solution

The fourth proportional to 55,751.50, 76,935.80 and 30,257.91 is: 41,755.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,751.50 : 76,935.80 = 30,257.91 : x
  2. Step 2: Convert to fraction form
    55,751.50/76,935.80 = 30,257.91/x
  3. Step 3: Cross multiply
    55,751.50x = 76,935.80 × 30,257.91
  4. Step 4: Simplify right side
    55,751.50x = 2,327,916,553.23
  5. Step 5: Solve for x
    x = 2,327,916,553.23/55,751.50
  6. Step 6: Final answer
    x = 41,755.23

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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.