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Finding the Fourth Proportional to 210,980.43, 316,469.70 and 86,321.43

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Solution

The fourth proportional to 210,980.43, 316,469.70 and 86,321.43 is: 129,481.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,980.43 : 316,469.70 = 86,321.43 : x
  2. Step 2: Convert to fraction form
    210,980.43/316,469.70 = 86,321.43/x
  3. Step 3: Cross multiply
    210,980.43x = 316,469.70 × 86,321.43
  4. Step 4: Simplify right side
    210,980.43x = 27,318,117,055.67
  5. Step 5: Solve for x
    x = 27,318,117,055.67/210,980.43
  6. Step 6: Final answer
    x = 129,481.76

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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.