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Finding the Fourth Proportional to 102,563.28, 153,825.41 and 43,440.44

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Solution

The fourth proportional to 102,563.28, 153,825.41 and 43,440.44 is: 65,152.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,563.28 : 153,825.41 = 43,440.44 : x
  2. Step 2: Convert to fraction form
    102,563.28/153,825.41 = 43,440.44/x
  3. Step 3: Cross multiply
    102,563.28x = 153,825.41 × 43,440.44
  4. Step 4: Simplify right side
    102,563.28x = 6,682,242,833.05
  5. Step 5: Solve for x
    x = 6,682,242,833.05/102,563.28
  6. Step 6: Final answer
    x = 65,152.39

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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.