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Finding the Fourth Proportional to 47,028, 70,542 and 14,196

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Solution

The fourth proportional to 47,028, 70,542 and 14,196 is: 21,294

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,028 : 70,542 = 14,196 : x
  2. Step 2: Convert to fraction form
    47,028/70,542 = 14,196/x
  3. Step 3: Cross multiply
    47,028x = 70,542 × 14,196
  4. Step 4: Simplify right side
    47,028x = 1,001,414,232
  5. Step 5: Solve for x
    x = 1,001,414,232/47,028
  6. Step 6: Final answer
    x = 21,294

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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.