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Finding the Fourth Proportional to 231,660, 319,688.64 and 131,058

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Solution

The fourth proportional to 231,660, 319,688.64 and 131,058 is: 180,858.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,660 : 319,688.64 = 131,058 : x
  2. Step 2: Convert to fraction form
    231,660/319,688.64 = 131,058/x
  3. Step 3: Cross multiply
    231,660x = 319,688.64 × 131,058
  4. Step 4: Simplify right side
    231,660x = 41,897,753,781.12
  5. Step 5: Solve for x
    x = 41,897,753,781.12/231,660
  6. Step 6: Final answer
    x = 180,858.82

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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.