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Finding the Fourth Proportional to 51,135.88, 70,568.04 and 29,911

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Solution

The fourth proportional to 51,135.88, 70,568.04 and 29,911 is: 41,277.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,135.88 : 70,568.04 = 29,911 : x
  2. Step 2: Convert to fraction form
    51,135.88/70,568.04 = 29,911/x
  3. Step 3: Cross multiply
    51,135.88x = 70,568.04 × 29,911
  4. Step 4: Simplify right side
    51,135.88x = 2,110,760,644.44
  5. Step 5: Solve for x
    x = 2,110,760,644.44/51,135.88
  6. Step 6: Final answer
    x = 41,277.49

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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.