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Finding the Fourth Proportional to 55,177, 76,144.26 and 30,026.68

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Solution

The fourth proportional to 55,177, 76,144.26 and 30,026.68 is: 41,436.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,177 : 76,144.26 = 30,026.68 : x
  2. Step 2: Convert to fraction form
    55,177/76,144.26 = 30,026.68/x
  3. Step 3: Cross multiply
    55,177x = 76,144.26 × 30,026.68
  4. Step 4: Simplify right side
    55,177x = 2,286,359,328.86
  5. Step 5: Solve for x
    x = 2,286,359,328.86/55,177
  6. Step 6: Final answer
    x = 41,436.82

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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.