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Finding the Fourth Proportional to 51,777.78, 77,603.11 and 26,803.61

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Solution

The fourth proportional to 51,777.78, 77,603.11 and 26,803.61 is: 40,172.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,777.78 : 77,603.11 = 26,803.61 : x
  2. Step 2: Convert to fraction form
    51,777.78/77,603.11 = 26,803.61/x
  3. Step 3: Cross multiply
    51,777.78x = 77,603.11 × 26,803.61
  4. Step 4: Simplify right side
    51,777.78x = 2,080,043,481.98
  5. Step 5: Solve for x
    x = 2,080,043,481.98/51,777.78
  6. Step 6: Final answer
    x = 40,172.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.