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Finding the Fourth Proportional to 109,021.32, 163,583.61 and 45,855.27

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Solution

The fourth proportional to 109,021.32, 163,583.61 and 45,855.27 is: 68,804.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,021.32 : 163,583.61 = 45,855.27 : x
  2. Step 2: Convert to fraction form
    109,021.32/163,583.61 = 45,855.27/x
  3. Step 3: Cross multiply
    109,021.32x = 163,583.61 × 45,855.27
  4. Step 4: Simplify right side
    109,021.32x = 7,501,170,604.12
  5. Step 5: Solve for x
    x = 7,501,170,604.12/109,021.32
  6. Step 6: Final answer
    x = 68,804.62

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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.