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Finding the Fourth Proportional to 211,995.20, 317,830.80 and 106,889.60

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Solution

The fourth proportional to 211,995.20, 317,830.80 and 106,889.60 is: 160,252.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,995.20 : 317,830.80 = 106,889.60 : x
  2. Step 2: Convert to fraction form
    211,995.20/317,830.80 = 106,889.60/x
  3. Step 3: Cross multiply
    211,995.20x = 317,830.80 × 106,889.60
  4. Step 4: Simplify right side
    211,995.20x = 33,972,807,079.68
  5. Step 5: Solve for x
    x = 33,972,807,079.68/211,995.20
  6. Step 6: Final answer
    x = 160,252.72

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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.