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Finding the Fourth Proportional to 47,030, 70,545 and 14,198

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Solution

The fourth proportional to 47,030, 70,545 and 14,198 is: 21,297

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,030 : 70,545 = 14,198 : x
  2. Step 2: Convert to fraction form
    47,030/70,545 = 14,198/x
  3. Step 3: Cross multiply
    47,030x = 70,545 × 14,198
  4. Step 4: Simplify right side
    47,030x = 1,001,597,910
  5. Step 5: Solve for x
    x = 1,001,597,910/47,030
  6. Step 6: Final answer
    x = 21,297

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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.