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Finding the Fourth Proportional to 43,112.61, 64,647 and 19,719

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Solution

The fourth proportional to 43,112.61, 64,647 and 19,719 is: 29,568.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,112.61 : 64,647 = 19,719 : x
  2. Step 2: Convert to fraction form
    43,112.61/64,647 = 19,719/x
  3. Step 3: Cross multiply
    43,112.61x = 64,647 × 19,719
  4. Step 4: Simplify right side
    43,112.61x = 1,274,774,193
  5. Step 5: Solve for x
    x = 1,274,774,193/43,112.61
  6. Step 6: Final answer
    x = 29,568.48

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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.