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Finding the Fourth Proportional to 215,235.84, 322,865.22 and 65,464.68

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Solution

The fourth proportional to 215,235.84, 322,865.22 and 65,464.68 is: 98,200.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,235.84 : 322,865.22 = 65,464.68 : x
  2. Step 2: Convert to fraction form
    215,235.84/322,865.22 = 65,464.68/x
  3. Step 3: Cross multiply
    215,235.84x = 322,865.22 × 65,464.68
  4. Step 4: Simplify right side
    215,235.84x = 21,136,268,310.43
  5. Step 5: Solve for x
    x = 21,136,268,310.43/215,235.84
  6. Step 6: Final answer
    x = 98,200.51

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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.