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Finding the Fourth Proportional to 213,245.92, 319,907.84 and 106,685.60

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Solution

The fourth proportional to 213,245.92, 319,907.84 and 106,685.60 is: 160,047.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,245.92 : 319,907.84 = 106,685.60 : x
  2. Step 2: Convert to fraction form
    213,245.92/319,907.84 = 106,685.60/x
  3. Step 3: Cross multiply
    213,245.92x = 319,907.84 × 106,685.60
  4. Step 4: Simplify right side
    213,245.92x = 34,129,559,855.10
  5. Step 5: Solve for x
    x = 34,129,559,855.10/213,245.92
  6. Step 6: Final answer
    x = 160,047.89

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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.