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Finding the Fourth Proportional to 47,174.78, 70,750.82 and 13,885.80

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Solution

The fourth proportional to 47,174.78, 70,750.82 and 13,885.80 is: 20,825.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,174.78 : 70,750.82 = 13,885.80 : x
  2. Step 2: Convert to fraction form
    47,174.78/70,750.82 = 13,885.80/x
  3. Step 3: Cross multiply
    47,174.78x = 70,750.82 × 13,885.80
  4. Step 4: Simplify right side
    47,174.78x = 982,431,736.36
  5. Step 5: Solve for x
    x = 982,431,736.36/47,174.78
  6. Step 6: Final answer
    x = 20,825.36

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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.