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Finding the Fourth Proportional to 214,991.70, 296,605.83 and 138,505.02

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Solution

The fourth proportional to 214,991.70, 296,605.83 and 138,505.02 is: 191,083.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,991.70 : 296,605.83 = 138,505.02 : x
  2. Step 2: Convert to fraction form
    214,991.70/296,605.83 = 138,505.02/x
  3. Step 3: Cross multiply
    214,991.70x = 296,605.83 × 138,505.02
  4. Step 4: Simplify right side
    214,991.70x = 41,081,396,416.27
  5. Step 5: Solve for x
    x = 41,081,396,416.27/214,991.70
  6. Step 6: Final answer
    x = 191,083.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.