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Finding the Fourth Proportional to 251,081, 346,522.50 and 145,097

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Solution

The fourth proportional to 251,081, 346,522.50 and 145,097 is: 200,251.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,081 : 346,522.50 = 145,097 : x
  2. Step 2: Convert to fraction form
    251,081/346,522.50 = 145,097/x
  3. Step 3: Cross multiply
    251,081x = 346,522.50 × 145,097
  4. Step 4: Simplify right side
    251,081x = 50,279,375,182.50
  5. Step 5: Solve for x
    x = 50,279,375,182.50/251,081
  6. Step 6: Final answer
    x = 200,251.61

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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.