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Finding the Fourth Proportional to 213,080.63, 319,621.55 and 55,310.45

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Solution

The fourth proportional to 213,080.63, 319,621.55 and 55,310.45 is: 82,965.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,080.63 : 319,621.55 = 55,310.45 : x
  2. Step 2: Convert to fraction form
    213,080.63/319,621.55 = 55,310.45/x
  3. Step 3: Cross multiply
    213,080.63x = 319,621.55 × 55,310.45
  4. Step 4: Simplify right side
    213,080.63x = 17,678,409,885.54
  5. Step 5: Solve for x
    x = 17,678,409,885.54/213,080.63
  6. Step 6: Final answer
    x = 82,965.83

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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.