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Finding the Fourth Proportional to 201,809.64, 278,497.38 and 116,975.88

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Solution

The fourth proportional to 201,809.64, 278,497.38 and 116,975.88 is: 161,426.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,809.64 : 278,497.38 = 116,975.88 : x
  2. Step 2: Convert to fraction form
    201,809.64/278,497.38 = 116,975.88/x
  3. Step 3: Cross multiply
    201,809.64x = 278,497.38 × 116,975.88
  4. Step 4: Simplify right side
    201,809.64x = 32,577,476,103.19
  5. Step 5: Solve for x
    x = 32,577,476,103.19/201,809.64
  6. Step 6: Final answer
    x = 161,426.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.