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Finding the Fourth Proportional to 51,683.78, 77,525.94 and 20,519

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Solution

The fourth proportional to 51,683.78, 77,525.94 and 20,519 is: 30,778.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,683.78 : 77,525.94 = 20,519 : x
  2. Step 2: Convert to fraction form
    51,683.78/77,525.94 = 20,519/x
  3. Step 3: Cross multiply
    51,683.78x = 77,525.94 × 20,519
  4. Step 4: Simplify right side
    51,683.78x = 1,590,754,762.86
  5. Step 5: Solve for x
    x = 1,590,754,762.86/51,683.78
  6. Step 6: Final answer
    x = 30,778.61

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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.