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Finding the Fourth Proportional to 279,058, 418,587.02 and 82,066

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Solution

The fourth proportional to 279,058, 418,587.02 and 82,066 is: 123,099.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,058 : 418,587.02 = 82,066 : x
  2. Step 2: Convert to fraction form
    279,058/418,587.02 = 82,066/x
  3. Step 3: Cross multiply
    279,058x = 418,587.02 × 82,066
  4. Step 4: Simplify right side
    279,058x = 34,351,762,383.32
  5. Step 5: Solve for x
    x = 34,351,762,383.32/279,058
  6. Step 6: Final answer
    x = 123,099.01

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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.