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Finding the Fourth Proportional to 55,543.50, 76,650.03 and 30,393

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Solution

The fourth proportional to 55,543.50, 76,650.03 and 30,393 is: 41,942.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,543.50 : 76,650.03 = 30,393 : x
  2. Step 2: Convert to fraction form
    55,543.50/76,650.03 = 30,393/x
  3. Step 3: Cross multiply
    55,543.50x = 76,650.03 × 30,393
  4. Step 4: Simplify right side
    55,543.50x = 2,329,624,361.79
  5. Step 5: Solve for x
    x = 2,329,624,361.79/55,543.50
  6. Step 6: Final answer
    x = 41,942.34

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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.