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Finding the Fourth Proportional to 231,581.82, 319,481.45 and 136,045.42

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Solution

The fourth proportional to 231,581.82, 319,481.45 and 136,045.42 is: 187,683.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,581.82 : 319,481.45 = 136,045.42 : x
  2. Step 2: Convert to fraction form
    231,581.82/319,481.45 = 136,045.42/x
  3. Step 3: Cross multiply
    231,581.82x = 319,481.45 × 136,045.42
  4. Step 4: Simplify right side
    231,581.82x = 43,463,988,047.46
  5. Step 5: Solve for x
    x = 43,463,988,047.46/231,581.82
  6. Step 6: Final answer
    x = 187,683.07

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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.