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Finding the Fourth Proportional to 213,022.80, 319,534.20 and 134,485.20

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Solution

The fourth proportional to 213,022.80, 319,534.20 and 134,485.20 is: 201,727.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,022.80 : 319,534.20 = 134,485.20 : x
  2. Step 2: Convert to fraction form
    213,022.80/319,534.20 = 134,485.20/x
  3. Step 3: Cross multiply
    213,022.80x = 319,534.20 × 134,485.20
  4. Step 4: Simplify right side
    213,022.80x = 42,972,620,793.84
  5. Step 5: Solve for x
    x = 42,972,620,793.84/213,022.80
  6. Step 6: Final answer
    x = 201,727.80

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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.