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Finding the Fourth Proportional to 213,367.29, 319,980.57 and 71,173.38

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Solution

The fourth proportional to 213,367.29, 319,980.57 and 71,173.38 is: 106,736.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,367.29 : 319,980.57 = 71,173.38 : x
  2. Step 2: Convert to fraction form
    213,367.29/319,980.57 = 71,173.38/x
  3. Step 3: Cross multiply
    213,367.29x = 319,980.57 × 71,173.38
  4. Step 4: Simplify right side
    213,367.29x = 22,774,097,279.26
  5. Step 5: Solve for x
    x = 22,774,097,279.26/213,367.29
  6. Step 6: Final answer
    x = 106,736.59

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1.5x scale

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.