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Finding the Fourth Proportional to 82,007.80, 122,994.90 and 22,828.60

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Solution

The fourth proportional to 82,007.80, 122,994.90 and 22,828.60 is: 34,238.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,007.80 : 122,994.90 = 22,828.60 : x
  2. Step 2: Convert to fraction form
    82,007.80/122,994.90 = 22,828.60/x
  3. Step 3: Cross multiply
    82,007.80x = 122,994.90 × 22,828.60
  4. Step 4: Simplify right side
    82,007.80x = 2,807,801,374.14
  5. Step 5: Solve for x
    x = 2,807,801,374.14/82,007.80
  6. Step 6: Final answer
    x = 34,238.22

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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.