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Finding the Fourth Proportional to 279,051.38, 418,577.06 and 82,059.38

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Solution

The fourth proportional to 279,051.38, 418,577.06 and 82,059.38 is: 123,089.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,051.38 : 418,577.06 = 82,059.38 : x
  2. Step 2: Convert to fraction form
    279,051.38/418,577.06 = 82,059.38/x
  3. Step 3: Cross multiply
    279,051.38x = 418,577.06 × 82,059.38
  4. Step 4: Simplify right side
    279,051.38x = 34,348,174,025.82
  5. Step 5: Solve for x
    x = 34,348,174,025.82/279,051.38
  6. Step 6: Final answer
    x = 123,089.07

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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.