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Finding the Fourth Proportional to 212,978.20, 319,467 and 55,206.80

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Solution

The fourth proportional to 212,978.20, 319,467 and 55,206.80 is: 82,810.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,978.20 : 319,467 = 55,206.80 : x
  2. Step 2: Convert to fraction form
    212,978.20/319,467 = 55,206.80/x
  3. Step 3: Cross multiply
    212,978.20x = 319,467 × 55,206.80
  4. Step 4: Simplify right side
    212,978.20x = 17,636,750,775.60
  5. Step 5: Solve for x
    x = 17,636,750,775.60/212,978.20
  6. Step 6: Final answer
    x = 82,810.12

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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.