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Finding the Fourth Proportional to 70,382.21, 105,583.61 and 20,455.80

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Solution

The fourth proportional to 70,382.21, 105,583.61 and 20,455.80 is: 30,686.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,382.21 : 105,583.61 = 20,455.80 : x
  2. Step 2: Convert to fraction form
    70,382.21/105,583.61 = 20,455.80/x
  3. Step 3: Cross multiply
    70,382.21x = 105,583.61 × 20,455.80
  4. Step 4: Simplify right side
    70,382.21x = 2,159,797,107.16
  5. Step 5: Solve for x
    x = 2,159,797,107.16/70,382.21
  6. Step 6: Final answer
    x = 30,686.69

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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.