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Finding the Fourth Proportional to 43,409.81, 65,125.64 and 20,052.77

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Solution

The fourth proportional to 43,409.81, 65,125.64 and 20,052.77 is: 30,084.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,409.81 : 65,125.64 = 20,052.77 : x
  2. Step 2: Convert to fraction form
    43,409.81/65,125.64 = 20,052.77/x
  3. Step 3: Cross multiply
    43,409.81x = 65,125.64 × 20,052.77
  4. Step 4: Simplify right side
    43,409.81x = 1,305,949,379.76
  5. Step 5: Solve for x
    x = 1,305,949,379.76/43,409.81
  6. Step 6: Final answer
    x = 30,084.20

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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.