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Finding the Fourth Proportional to 53,686, 80,551.74 and 28,719.50

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Solution

The fourth proportional to 53,686, 80,551.74 and 28,719.50 is: 43,091.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,686 : 80,551.74 = 28,719.50 : x
  2. Step 2: Convert to fraction form
    53,686/80,551.74 = 28,719.50/x
  3. Step 3: Cross multiply
    53,686x = 80,551.74 × 28,719.50
  4. Step 4: Simplify right side
    53,686x = 2,313,405,696.93
  5. Step 5: Solve for x
    x = 2,313,405,696.93/53,686
  6. Step 6: Final answer
    x = 43,091.41

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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.