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Finding the Fourth Proportional to 231,670, 319,702.44 and 131,068

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Solution

The fourth proportional to 231,670, 319,702.44 and 131,068 is: 180,872.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,670 : 319,702.44 = 131,068 : x
  2. Step 2: Convert to fraction form
    231,670/319,702.44 = 131,068/x
  3. Step 3: Cross multiply
    231,670x = 319,702.44 × 131,068
  4. Step 4: Simplify right side
    231,670x = 41,902,759,405.92
  5. Step 5: Solve for x
    x = 41,902,759,405.92/231,670
  6. Step 6: Final answer
    x = 180,872.62

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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.