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Finding the Fourth Proportional to 82,083.82, 123,125.75 and 19,754.32

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Solution

The fourth proportional to 82,083.82, 123,125.75 and 19,754.32 is: 29,631.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,083.82 : 123,125.75 = 19,754.32 : x
  2. Step 2: Convert to fraction form
    82,083.82/123,125.75 = 19,754.32/x
  3. Step 3: Cross multiply
    82,083.82x = 123,125.75 × 19,754.32
  4. Step 4: Simplify right side
    82,083.82x = 2,432,264,954.63
  5. Step 5: Solve for x
    x = 2,432,264,954.63/82,083.82
  6. Step 6: Final answer
    x = 29,631.48

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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.