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Finding the Fourth Proportional to 212,789.94, 319,195.88 and 55,019.76

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Solution

The fourth proportional to 212,789.94, 319,195.88 and 55,019.76 is: 82,532.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,789.94 : 319,195.88 = 55,019.76 : x
  2. Step 2: Convert to fraction form
    212,789.94/319,195.88 = 55,019.76/x
  3. Step 3: Cross multiply
    212,789.94x = 319,195.88 × 55,019.76
  4. Step 4: Simplify right side
    212,789.94x = 17,562,080,710.59
  5. Step 5: Solve for x
    x = 17,562,080,710.59/212,789.94
  6. Step 6: Final answer
    x = 82,532.48

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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.