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Finding the Fourth Proportional to 259,968, 358,755.84 and 140,736

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Solution

The fourth proportional to 259,968, 358,755.84 and 140,736 is: 194,215.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,968 : 358,755.84 = 140,736 : x
  2. Step 2: Convert to fraction form
    259,968/358,755.84 = 140,736/x
  3. Step 3: Cross multiply
    259,968x = 358,755.84 × 140,736
  4. Step 4: Simplify right side
    259,968x = 50,489,861,898.24
  5. Step 5: Solve for x
    x = 50,489,861,898.24/259,968
  6. Step 6: Final answer
    x = 194,215.68

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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.