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Finding the Fourth Proportional to 210,796.12, 316,194.72 and 86,137.12

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Solution

The fourth proportional to 210,796.12, 316,194.72 and 86,137.12 is: 129,205.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,796.12 : 316,194.72 = 86,137.12 : x
  2. Step 2: Convert to fraction form
    210,796.12/316,194.72 = 86,137.12/x
  3. Step 3: Cross multiply
    210,796.12x = 316,194.72 × 86,137.12
  4. Step 4: Simplify right side
    210,796.12x = 27,236,102,540.01
  5. Step 5: Solve for x
    x = 27,236,102,540.01/210,796.12
  6. Step 6: Final answer
    x = 129,205.90

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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.