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Finding the Fourth Proportional to 82,670.44, 124,004.84 and 20,340.96

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Solution

The fourth proportional to 82,670.44, 124,004.84 and 20,340.96 is: 30,511.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,670.44 : 124,004.84 = 20,340.96 : x
  2. Step 2: Convert to fraction form
    82,670.44/124,004.84 = 20,340.96/x
  3. Step 3: Cross multiply
    82,670.44x = 124,004.84 × 20,340.96
  4. Step 4: Simplify right side
    82,670.44x = 2,522,377,490.25
  5. Step 5: Solve for x
    x = 2,522,377,490.25/82,670.44
  6. Step 6: Final answer
    x = 30,511.24

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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.