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Finding the Fourth Proportional to 77,857.20, 116,785.88 and 21,697.44

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Solution

The fourth proportional to 77,857.20, 116,785.88 and 21,697.44 is: 32,546.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,857.20 : 116,785.88 = 21,697.44 : x
  2. Step 2: Convert to fraction form
    77,857.20/116,785.88 = 21,697.44/x
  3. Step 3: Cross multiply
    77,857.20x = 116,785.88 × 21,697.44
  4. Step 4: Simplify right side
    77,857.20x = 2,533,954,624.15
  5. Step 5: Solve for x
    x = 2,533,954,624.15/77,857.20
  6. Step 6: Final answer
    x = 32,546.18

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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.