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Finding the Fourth Proportional to 82,893.16, 124,339.74 and 20,563.66

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Solution

The fourth proportional to 82,893.16, 124,339.74 and 20,563.66 is: 30,845.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,893.16 : 124,339.74 = 20,563.66 : x
  2. Step 2: Convert to fraction form
    82,893.16/124,339.74 = 20,563.66/x
  3. Step 3: Cross multiply
    82,893.16x = 124,339.74 × 20,563.66
  4. Step 4: Simplify right side
    82,893.16x = 2,556,880,137.85
  5. Step 5: Solve for x
    x = 2,556,880,137.85/82,893.16
  6. Step 6: Final answer
    x = 30,845.49

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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.