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Finding the Fourth Proportional to 82,414.80, 122,929.36 and 74,846.86

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Solution

The fourth proportional to 82,414.80, 122,929.36 and 74,846.86 is: 111,641.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,414.80 : 122,929.36 = 74,846.86 : x
  2. Step 2: Convert to fraction form
    82,414.80/122,929.36 = 74,846.86/x
  3. Step 3: Cross multiply
    82,414.80x = 122,929.36 × 74,846.86
  4. Step 4: Simplify right side
    82,414.80x = 9,200,876,597.81
  5. Step 5: Solve for x
    x = 9,200,876,597.81/82,414.80
  6. Step 6: Final answer
    x = 111,641.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.