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Finding the Fourth Proportional to 213,052.69, 319,566.50 and 79,921.80

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Solution

The fourth proportional to 213,052.69, 319,566.50 and 79,921.80 is: 119,878.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,052.69 : 319,566.50 = 79,921.80 : x
  2. Step 2: Convert to fraction form
    213,052.69/319,566.50 = 79,921.80/x
  3. Step 3: Cross multiply
    213,052.69x = 319,566.50 × 79,921.80
  4. Step 4: Simplify right side
    213,052.69x = 25,540,329,899.70
  5. Step 5: Solve for x
    x = 25,540,329,899.70/213,052.69
  6. Step 6: Final answer
    x = 119,878.00

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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.