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Finding the Fourth Proportional to 47,784.80, 71,709.60 and 31,104.20

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Solution

The fourth proportional to 47,784.80, 71,709.60 and 31,104.20 is: 46,677.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,784.80 : 71,709.60 = 31,104.20 : x
  2. Step 2: Convert to fraction form
    47,784.80/71,709.60 = 31,104.20/x
  3. Step 3: Cross multiply
    47,784.80x = 71,709.60 × 31,104.20
  4. Step 4: Simplify right side
    47,784.80x = 2,230,469,740.32
  5. Step 5: Solve for x
    x = 2,230,469,740.32/47,784.80
  6. Step 6: Final answer
    x = 46,677.39

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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.