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Finding the Fourth Proportional to 100,113.70, 138,156.97 and 54,791.67

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Solution

The fourth proportional to 100,113.70, 138,156.97 and 54,791.67 is: 75,612.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,113.70 : 138,156.97 = 54,791.67 : x
  2. Step 2: Convert to fraction form
    100,113.70/138,156.97 = 54,791.67/x
  3. Step 3: Cross multiply
    100,113.70x = 138,156.97 × 54,791.67
  4. Step 4: Simplify right side
    100,113.70x = 7,569,851,108.44
  5. Step 5: Solve for x
    x = 7,569,851,108.44/100,113.70
  6. Step 6: Final answer
    x = 75,612.54

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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.