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Finding the Fourth Proportional to 253,086.16, 349,241.34 and 139,900

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Solution

The fourth proportional to 253,086.16, 349,241.34 and 139,900 is: 193,052.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,086.16 : 349,241.34 = 139,900 : x
  2. Step 2: Convert to fraction form
    253,086.16/349,241.34 = 139,900/x
  3. Step 3: Cross multiply
    253,086.16x = 349,241.34 × 139,900
  4. Step 4: Simplify right side
    253,086.16x = 48,858,863,466
  5. Step 5: Solve for x
    x = 48,858,863,466/253,086.16
  6. Step 6: Final answer
    x = 193,052.29

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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.