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Finding the Fourth Proportional to 69,217.60, 103,850.49 and 21,840

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Solution

The fourth proportional to 69,217.60, 103,850.49 and 21,840 is: 32,767.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,217.60 : 103,850.49 = 21,840 : x
  2. Step 2: Convert to fraction form
    69,217.60/103,850.49 = 21,840/x
  3. Step 3: Cross multiply
    69,217.60x = 103,850.49 × 21,840
  4. Step 4: Simplify right side
    69,217.60x = 2,268,094,701.60
  5. Step 5: Solve for x
    x = 2,268,094,701.60/69,217.60
  6. Step 6: Final answer
    x = 32,767.60

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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.