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Finding the Fourth Proportional to 215,809.25, 323,913.30 and 109,268.02

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Solution

The fourth proportional to 215,809.25, 323,913.30 and 109,268.02 is: 164,003.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,809.25 : 323,913.30 = 109,268.02 : x
  2. Step 2: Convert to fraction form
    215,809.25/323,913.30 = 109,268.02/x
  3. Step 3: Cross multiply
    215,809.25x = 323,913.30 × 109,268.02
  4. Step 4: Simplify right side
    215,809.25x = 35,393,364,937.80
  5. Step 5: Solve for x
    x = 35,393,364,937.80/215,809.25
  6. Step 6: Final answer
    x = 164,003.01

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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.