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Finding the Fourth Proportional to 231,665.92, 319,672 and 129,696.96

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Solution

The fourth proportional to 231,665.92, 319,672 and 129,696.96 is: 178,966.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,665.92 : 319,672 = 129,696.96 : x
  2. Step 2: Convert to fraction form
    231,665.92/319,672 = 129,696.96/x
  3. Step 3: Cross multiply
    231,665.92x = 319,672 × 129,696.96
  4. Step 4: Simplify right side
    231,665.92x = 41,460,486,597.12
  5. Step 5: Solve for x
    x = 41,460,486,597.12/231,665.92
  6. Step 6: Final answer
    x = 178,966.71

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1.5x scale

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.