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Finding the Fourth Proportional to 251,057, 346,489.38 and 145,073

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Solution

The fourth proportional to 251,057, 346,489.38 and 145,073 is: 200,218.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,057 : 346,489.38 = 145,073 : x
  2. Step 2: Convert to fraction form
    251,057/346,489.38 = 145,073/x
  3. Step 3: Cross multiply
    251,057x = 346,489.38 × 145,073
  4. Step 4: Simplify right side
    251,057x = 50,266,253,824.74
  5. Step 5: Solve for x
    x = 50,266,253,824.74/251,057
  6. Step 6: Final answer
    x = 200,218.49

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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.