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Finding the Fourth Proportional to 47,739, 71,608.50 and 14,907

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Solution

The fourth proportional to 47,739, 71,608.50 and 14,907 is: 22,360.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,739 : 71,608.50 = 14,907 : x
  2. Step 2: Convert to fraction form
    47,739/71,608.50 = 14,907/x
  3. Step 3: Cross multiply
    47,739x = 71,608.50 × 14,907
  4. Step 4: Simplify right side
    47,739x = 1,067,467,909.50
  5. Step 5: Solve for x
    x = 1,067,467,909.50/47,739
  6. Step 6: Final answer
    x = 22,360.50

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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.