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Finding the Fourth Proportional to 47,975, 66,205.50 and 28,103

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Solution

The fourth proportional to 47,975, 66,205.50 and 28,103 is: 38,782.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,975 : 66,205.50 = 28,103 : x
  2. Step 2: Convert to fraction form
    47,975/66,205.50 = 28,103/x
  3. Step 3: Cross multiply
    47,975x = 66,205.50 × 28,103
  4. Step 4: Simplify right side
    47,975x = 1,860,573,166.50
  5. Step 5: Solve for x
    x = 1,860,573,166.50/47,975
  6. Step 6: Final answer
    x = 38,782.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.