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Finding the Fourth Proportional to 251,051.63, 346,450.82 and 137,874.38

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Solution

The fourth proportional to 251,051.63, 346,450.82 and 137,874.38 is: 190,266.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,051.63 : 346,450.82 = 137,874.38 : x
  2. Step 2: Convert to fraction form
    251,051.63/346,450.82 = 137,874.38/x
  3. Step 3: Cross multiply
    251,051.63x = 346,450.82 × 137,874.38
  4. Step 4: Simplify right side
    251,051.63x = 47,766,689,586.37
  5. Step 5: Solve for x
    x = 47,766,689,586.37/251,051.63
  6. Step 6: Final answer
    x = 190,266.40

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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.