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Finding the Fourth Proportional to 43,418.88, 65,132.64 and 20,052

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Solution

The fourth proportional to 43,418.88, 65,132.64 and 20,052 is: 30,080.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,418.88 : 65,132.64 = 20,052 : x
  2. Step 2: Convert to fraction form
    43,418.88/65,132.64 = 20,052/x
  3. Step 3: Cross multiply
    43,418.88x = 65,132.64 × 20,052
  4. Step 4: Simplify right side
    43,418.88x = 1,306,039,697.28
  5. Step 5: Solve for x
    x = 1,306,039,697.28/43,418.88
  6. Step 6: Final answer
    x = 30,080.00

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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.