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Finding the Fourth Proportional to 82,206.17, 123,235.20 and 29,578.63

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Solution

The fourth proportional to 82,206.17, 123,235.20 and 29,578.63 is: 44,341.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,206.17 : 123,235.20 = 29,578.63 : x
  2. Step 2: Convert to fraction form
    82,206.17/123,235.20 = 29,578.63/x
  3. Step 3: Cross multiply
    82,206.17x = 123,235.20 × 29,578.63
  4. Step 4: Simplify right side
    82,206.17x = 3,645,128,383.78
  5. Step 5: Solve for x
    x = 3,645,128,383.78/82,206.17
  6. Step 6: Final answer
    x = 44,341.30

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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.