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Finding the Fourth Proportional to 253,076.54, 349,231.92 and 139,892

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Solution

The fourth proportional to 253,076.54, 349,231.92 and 139,892 is: 193,043.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,076.54 : 349,231.92 = 139,892 : x
  2. Step 2: Convert to fraction form
    253,076.54/349,231.92 = 139,892/x
  3. Step 3: Cross multiply
    253,076.54x = 349,231.92 × 139,892
  4. Step 4: Simplify right side
    253,076.54x = 48,854,751,752.64
  5. Step 5: Solve for x
    x = 48,854,751,752.64/253,076.54
  6. Step 6: Final answer
    x = 193,043.38

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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.