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Finding the Fourth Proportional to 47,099.44, 70,643.08 and 20,798

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Solution

The fourth proportional to 47,099.44, 70,643.08 and 20,798 is: 31,194.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,099.44 : 70,643.08 = 20,798 : x
  2. Step 2: Convert to fraction form
    47,099.44/70,643.08 = 20,798/x
  3. Step 3: Cross multiply
    47,099.44x = 70,643.08 × 20,798
  4. Step 4: Simplify right side
    47,099.44x = 1,469,234,777.84
  5. Step 5: Solve for x
    x = 1,469,234,777.84/47,099.44
  6. Step 6: Final answer
    x = 31,194.32

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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.