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Finding the Fourth Proportional to 82,012.92, 122,989.14 and 29,409.72

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Solution

The fourth proportional to 82,012.92, 122,989.14 and 29,409.72 is: 44,103.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,012.92 : 122,989.14 = 29,409.72 : x
  2. Step 2: Convert to fraction form
    82,012.92/122,989.14 = 29,409.72/x
  3. Step 3: Cross multiply
    82,012.92x = 122,989.14 × 29,409.72
  4. Step 4: Simplify right side
    82,012.92x = 3,617,076,170.44
  5. Step 5: Solve for x
    x = 3,617,076,170.44/82,012.92
  6. Step 6: Final answer
    x = 44,103.74

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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.