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Finding the Fourth Proportional to 47,918.56, 71,868.12 and 12,850

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Solution

The fourth proportional to 47,918.56, 71,868.12 and 12,850 is: 19,272.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,918.56 : 71,868.12 = 12,850 : x
  2. Step 2: Convert to fraction form
    47,918.56/71,868.12 = 12,850/x
  3. Step 3: Cross multiply
    47,918.56x = 71,868.12 × 12,850
  4. Step 4: Simplify right side
    47,918.56x = 923,505,342.00
  5. Step 5: Solve for x
    x = 923,505,342.00/47,918.56
  6. Step 6: Final answer
    x = 19,272.39

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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.