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Finding the Fourth Proportional to 210,728.96, 316,093.68 and 86,069.96

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Solution

The fourth proportional to 210,728.96, 316,093.68 and 86,069.96 is: 129,105.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,728.96 : 316,093.68 = 86,069.96 : x
  2. Step 2: Convert to fraction form
    210,728.96/316,093.68 = 86,069.96/x
  3. Step 3: Cross multiply
    210,728.96x = 316,093.68 × 86,069.96
  4. Step 4: Simplify right side
    210,728.96x = 27,206,170,393.85
  5. Step 5: Solve for x
    x = 27,206,170,393.85/210,728.96
  6. Step 6: Final answer
    x = 129,105.04

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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.