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Finding the Fourth Proportional to 213,029.06, 319,708.83 and 80,030.30

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Solution

The fourth proportional to 213,029.06, 319,708.83 and 80,030.30 is: 120,107.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,029.06 : 319,708.83 = 80,030.30 : x
  2. Step 2: Convert to fraction form
    213,029.06/319,708.83 = 80,030.30/x
  3. Step 3: Cross multiply
    213,029.06x = 319,708.83 × 80,030.30
  4. Step 4: Simplify right side
    213,029.06x = 25,586,393,577.55
  5. Step 5: Solve for x
    x = 25,586,393,577.55/213,029.06
  6. Step 6: Final answer
    x = 120,107.53

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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.