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Finding the Fourth Proportional to 253,586.69, 349,949.63 and 140,409.44

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Solution

The fourth proportional to 253,586.69, 349,949.63 and 140,409.44 is: 193,765.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,586.69 : 349,949.63 = 140,409.44 : x
  2. Step 2: Convert to fraction form
    253,586.69/349,949.63 = 140,409.44/x
  3. Step 3: Cross multiply
    253,586.69x = 349,949.63 × 140,409.44
  4. Step 4: Simplify right side
    253,586.69x = 49,136,231,576.51
  5. Step 5: Solve for x
    x = 49,136,231,576.51/253,586.69
  6. Step 6: Final answer
    x = 193,765.03

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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.