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Finding the Fourth Proportional to 201,785.64, 278,464.17 and 116,951.91

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Solution

The fourth proportional to 201,785.64, 278,464.17 and 116,951.91 is: 161,393.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,785.64 : 278,464.17 = 116,951.91 : x
  2. Step 2: Convert to fraction form
    201,785.64/278,464.17 = 116,951.91/x
  3. Step 3: Cross multiply
    201,785.64x = 278,464.17 × 116,951.91
  4. Step 4: Simplify right side
    201,785.64x = 32,566,916,548.06
  5. Step 5: Solve for x
    x = 32,566,916,548.06/201,785.64
  6. Step 6: Final answer
    x = 161,393.63

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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.