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Finding the Fourth Proportional to 51,329, 77,024.22 and 22,145

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Solution

The fourth proportional to 51,329, 77,024.22 and 22,145 is: 33,230.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,329 : 77,024.22 = 22,145 : x
  2. Step 2: Convert to fraction form
    51,329/77,024.22 = 22,145/x
  3. Step 3: Cross multiply
    51,329x = 77,024.22 × 22,145
  4. Step 4: Simplify right side
    51,329x = 1,705,701,351.90
  5. Step 5: Solve for x
    x = 1,705,701,351.90/51,329
  6. Step 6: Final answer
    x = 33,230.75

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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.