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Finding the Fourth Proportional to 201,784.64, 278,449.44 and 116,886.56

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Solution

The fourth proportional to 201,784.64, 278,449.44 and 116,886.56 is: 161,295.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,784.64 : 278,449.44 = 116,886.56 : x
  2. Step 2: Convert to fraction form
    201,784.64/278,449.44 = 116,886.56/x
  3. Step 3: Cross multiply
    201,784.64x = 278,449.44 × 116,886.56
  4. Step 4: Simplify right side
    201,784.64x = 32,546,997,175.53
  5. Step 5: Solve for x
    x = 32,546,997,175.53/201,784.64
  6. Step 6: Final answer
    x = 161,295.71

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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.