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Finding the Fourth Proportional to 213,745.16, 320,406.30 and 101,227.65

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Solution

The fourth proportional to 213,745.16, 320,406.30 and 101,227.65 is: 151,741.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,745.16 : 320,406.30 = 101,227.65 : x
  2. Step 2: Convert to fraction form
    213,745.16/320,406.30 = 101,227.65/x
  3. Step 3: Cross multiply
    213,745.16x = 320,406.30 × 101,227.65
  4. Step 4: Simplify right side
    213,745.16x = 32,433,976,794.20
  5. Step 5: Solve for x
    x = 32,433,976,794.20/213,745.16
  6. Step 6: Final answer
    x = 151,741.34

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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.