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Finding the Fourth Proportional to 47,393.21, 71,089.61 and 19,307

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Solution

The fourth proportional to 47,393.21, 71,089.61 and 19,307 is: 28,960.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,393.21 : 71,089.61 = 19,307 : x
  2. Step 2: Convert to fraction form
    47,393.21/71,089.61 = 19,307/x
  3. Step 3: Cross multiply
    47,393.21x = 71,089.61 × 19,307
  4. Step 4: Simplify right side
    47,393.21x = 1,372,527,100.27
  5. Step 5: Solve for x
    x = 1,372,527,100.27/47,393.21
  6. Step 6: Final answer
    x = 28,960.42

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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.