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Finding the Fourth Proportional to 231,648.83, 319,675.52 and 129,674.49

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Solution

The fourth proportional to 231,648.83, 319,675.52 and 129,674.49 is: 178,950.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,648.83 : 319,675.52 = 129,674.49 : x
  2. Step 2: Convert to fraction form
    231,648.83/319,675.52 = 129,674.49/x
  3. Step 3: Cross multiply
    231,648.83x = 319,675.52 × 129,674.49
  4. Step 4: Simplify right side
    231,648.83x = 41,453,760,021.48
  5. Step 5: Solve for x
    x = 41,453,760,021.48/231,648.83
  6. Step 6: Final answer
    x = 178,950.87

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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.