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Finding the Fourth Proportional to 82,083.36, 123,131.88 and 22,919.72

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Solution

The fourth proportional to 82,083.36, 123,131.88 and 22,919.72 is: 34,381.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,083.36 : 123,131.88 = 22,919.72 : x
  2. Step 2: Convert to fraction form
    82,083.36/123,131.88 = 22,919.72/x
  3. Step 3: Cross multiply
    82,083.36x = 123,131.88 × 22,919.72
  4. Step 4: Simplify right side
    82,083.36x = 2,822,148,212.67
  5. Step 5: Solve for x
    x = 2,822,148,212.67/82,083.36
  6. Step 6: Final answer
    x = 34,381.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.