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Finding the Fourth Proportional to 203,058, 280,181.16 and 131,428.08

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Solution

The fourth proportional to 203,058, 280,181.16 and 131,428.08 is: 181,345.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,058 : 280,181.16 = 131,428.08 : x
  2. Step 2: Convert to fraction form
    203,058/280,181.16 = 131,428.08/x
  3. Step 3: Cross multiply
    203,058x = 280,181.16 × 131,428.08
  4. Step 4: Simplify right side
    203,058x = 36,823,671,910.97
  5. Step 5: Solve for x
    x = 36,823,671,910.97/203,058
  6. Step 6: Final answer
    x = 181,345.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.