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Finding the Fourth Proportional to 47,475.96, 71,213.64 and 19,390

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Solution

The fourth proportional to 47,475.96, 71,213.64 and 19,390 is: 29,084.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,475.96 : 71,213.64 = 19,390 : x
  2. Step 2: Convert to fraction form
    47,475.96/71,213.64 = 19,390/x
  3. Step 3: Cross multiply
    47,475.96x = 71,213.64 × 19,390
  4. Step 4: Simplify right side
    47,475.96x = 1,380,832,479.60
  5. Step 5: Solve for x
    x = 1,380,832,479.60/47,475.96
  6. Step 6: Final answer
    x = 29,084.88

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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.