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Finding the Fourth Proportional to 53,840.76, 80,771.94 and 18,771

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Solution

The fourth proportional to 53,840.76, 80,771.94 and 18,771 is: 28,160.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,840.76 : 80,771.94 = 18,771 : x
  2. Step 2: Convert to fraction form
    53,840.76/80,771.94 = 18,771/x
  3. Step 3: Cross multiply
    53,840.76x = 80,771.94 × 18,771
  4. Step 4: Simplify right side
    53,840.76x = 1,516,170,085.74
  5. Step 5: Solve for x
    x = 1,516,170,085.74/53,840.76
  6. Step 6: Final answer
    x = 28,160.27

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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.