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Finding the Fourth Proportional to 251,056, 346,488 and 145,072

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Solution

The fourth proportional to 251,056, 346,488 and 145,072 is: 200,217.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,056 : 346,488 = 145,072 : x
  2. Step 2: Convert to fraction form
    251,056/346,488 = 145,072/x
  3. Step 3: Cross multiply
    251,056x = 346,488 × 145,072
  4. Step 4: Simplify right side
    251,056x = 50,265,707,136
  5. Step 5: Solve for x
    x = 50,265,707,136/251,056
  6. Step 6: Final answer
    x = 200,217.11

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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.