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Finding the Fourth Proportional to 213,967.63, 321,011.42 and 85,973.79

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Solution

The fourth proportional to 213,967.63, 321,011.42 and 85,973.79 is: 128,984.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,967.63 : 321,011.42 = 85,973.79 : x
  2. Step 2: Convert to fraction form
    213,967.63/321,011.42 = 85,973.79/x
  3. Step 3: Cross multiply
    213,967.63x = 321,011.42 × 85,973.79
  4. Step 4: Simplify right side
    213,967.63x = 27,598,568,410.68
  5. Step 5: Solve for x
    x = 27,598,568,410.68/213,967.63
  6. Step 6: Final answer
    x = 128,984.78

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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.