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Finding the Fourth Proportional to 51,047.78, 76,379.22 and 45,868.10

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Solution

The fourth proportional to 51,047.78, 76,379.22 and 45,868.10 is: 68,629.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,047.78 : 76,379.22 = 45,868.10 : x
  2. Step 2: Convert to fraction form
    51,047.78/76,379.22 = 45,868.10/x
  3. Step 3: Cross multiply
    51,047.78x = 76,379.22 × 45,868.10
  4. Step 4: Simplify right side
    51,047.78x = 3,503,369,700.88
  5. Step 5: Solve for x
    x = 3,503,369,700.88/51,047.78
  6. Step 6: Final answer
    x = 68,629.23

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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.