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Finding the Fourth Proportional to 213,488.55, 319,986.30 and 80,283.84

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Solution

The fourth proportional to 213,488.55, 319,986.30 and 80,283.84 is: 120,333.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,488.55 : 319,986.30 = 80,283.84 : x
  2. Step 2: Convert to fraction form
    213,488.55/319,986.30 = 80,283.84/x
  3. Step 3: Cross multiply
    213,488.55x = 319,986.30 × 80,283.84
  4. Step 4: Simplify right side
    213,488.55x = 25,689,728,911.39
  5. Step 5: Solve for x
    x = 25,689,728,911.39/213,488.55
  6. Step 6: Final answer
    x = 120,333.05

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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.