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Finding the Fourth Proportional to 259,243, 357,755.34 and 140,011

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Solution

The fourth proportional to 259,243, 357,755.34 and 140,011 is: 193,215.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,243 : 357,755.34 = 140,011 : x
  2. Step 2: Convert to fraction form
    259,243/357,755.34 = 140,011/x
  3. Step 3: Cross multiply
    259,243x = 357,755.34 × 140,011
  4. Step 4: Simplify right side
    259,243x = 50,089,682,908.74
  5. Step 5: Solve for x
    x = 50,089,682,908.74/259,243
  6. Step 6: Final answer
    x = 193,215.18

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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.