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Finding the Fourth Proportional to 213,902.14, 320,745.21 and 125,182.30

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Solution

The fourth proportional to 213,902.14, 320,745.21 and 125,182.30 is: 187,710.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,902.14 : 320,745.21 = 125,182.30 : x
  2. Step 2: Convert to fraction form
    213,902.14/320,745.21 = 125,182.30/x
  3. Step 3: Cross multiply
    213,902.14x = 320,745.21 × 125,182.30
  4. Step 4: Simplify right side
    213,902.14x = 40,151,623,101.78
  5. Step 5: Solve for x
    x = 40,151,623,101.78/213,902.14
  6. Step 6: Final answer
    x = 187,710.24

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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.