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Finding the Fourth Proportional to 51,409.86, 77,100.20 and 20,237.82

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Solution

The fourth proportional to 51,409.86, 77,100.20 and 20,237.82 is: 30,350.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,409.86 : 77,100.20 = 20,237.82 : x
  2. Step 2: Convert to fraction form
    51,409.86/77,100.20 = 20,237.82/x
  3. Step 3: Cross multiply
    51,409.86x = 77,100.20 × 20,237.82
  4. Step 4: Simplify right side
    51,409.86x = 1,560,339,868.37
  5. Step 5: Solve for x
    x = 1,560,339,868.37/51,409.86
  6. Step 6: Final answer
    x = 30,350.98

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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.