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Finding the Fourth Proportional to 112,378, 168,576.72 and 29,272

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Solution

The fourth proportional to 112,378, 168,576.72 and 29,272 is: 43,910.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,378 : 168,576.72 = 29,272 : x
  2. Step 2: Convert to fraction form
    112,378/168,576.72 = 29,272/x
  3. Step 3: Cross multiply
    112,378x = 168,576.72 × 29,272
  4. Step 4: Simplify right side
    112,378x = 4,934,577,747.84
  5. Step 5: Solve for x
    x = 4,934,577,747.84/112,378
  6. Step 6: Final answer
    x = 43,910.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.