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Finding the Fourth Proportional to 53,728.47, 80,198.36 and 49,770

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Solution

The fourth proportional to 53,728.47, 80,198.36 and 49,770 is: 74,289.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,728.47 : 80,198.36 = 49,770 : x
  2. Step 2: Convert to fraction form
    53,728.47/80,198.36 = 49,770/x
  3. Step 3: Cross multiply
    53,728.47x = 80,198.36 × 49,770
  4. Step 4: Simplify right side
    53,728.47x = 3,991,472,128.35
  5. Step 5: Solve for x
    x = 3,991,472,128.35/53,728.47
  6. Step 6: Final answer
    x = 74,289.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.