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Finding the Fourth Proportional to 80,409.16, 110,971.38 and 46,877.32

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Solution

The fourth proportional to 80,409.16, 110,971.38 and 46,877.32 is: 64,694.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,409.16 : 110,971.38 = 46,877.32 : x
  2. Step 2: Convert to fraction form
    80,409.16/110,971.38 = 46,877.32/x
  3. Step 3: Cross multiply
    80,409.16x = 110,971.38 × 46,877.32
  4. Step 4: Simplify right side
    80,409.16x = 5,202,040,891.10
  5. Step 5: Solve for x
    x = 5,202,040,891.10/80,409.16
  6. Step 6: Final answer
    x = 64,694.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.