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Finding the Fourth Proportional to 251,022, 346,405.96 and 137,843.96

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Solution

The fourth proportional to 251,022, 346,405.96 and 137,843.96 is: 190,222.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,022 : 346,405.96 = 137,843.96 : x
  2. Step 2: Convert to fraction form
    251,022/346,405.96 = 137,843.96/x
  3. Step 3: Cross multiply
    251,022x = 346,405.96 × 137,843.96
  4. Step 4: Simplify right side
    251,022x = 47,749,969,294.00
  5. Step 5: Solve for x
    x = 47,749,969,294.00/251,022
  6. Step 6: Final answer
    x = 190,222.25

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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.