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Finding the Fourth Proportional to 47,391.80, 71,067.96 and 19,292.80

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Solution

The fourth proportional to 47,391.80, 71,067.96 and 19,292.80 is: 28,931.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,391.80 : 71,067.96 = 19,292.80 : x
  2. Step 2: Convert to fraction form
    47,391.80/71,067.96 = 19,292.80/x
  3. Step 3: Cross multiply
    47,391.80x = 71,067.96 × 19,292.80
  4. Step 4: Simplify right side
    47,391.80x = 1,371,099,583.35
  5. Step 5: Solve for x
    x = 1,371,099,583.35/47,391.80
  6. Step 6: Final answer
    x = 28,931.16

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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.