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Finding the Fourth Proportional to 43,782.11, 65,661.20 and 15,696.95

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Solution

The fourth proportional to 43,782.11, 65,661.20 and 15,696.95 is: 23,541.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,782.11 : 65,661.20 = 15,696.95 : x
  2. Step 2: Convert to fraction form
    43,782.11/65,661.20 = 15,696.95/x
  3. Step 3: Cross multiply
    43,782.11x = 65,661.20 × 15,696.95
  4. Step 4: Simplify right side
    43,782.11x = 1,030,680,245.03
  5. Step 5: Solve for x
    x = 1,030,680,245.03/43,782.11
  6. Step 6: Final answer
    x = 23,541.13

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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.