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Finding the Fourth Proportional to 210,687.96, 290,749.50 and 115,195.44

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Solution

The fourth proportional to 210,687.96, 290,749.50 and 115,195.44 is: 158,969.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,687.96 : 290,749.50 = 115,195.44 : x
  2. Step 2: Convert to fraction form
    210,687.96/290,749.50 = 115,195.44/x
  3. Step 3: Cross multiply
    210,687.96x = 290,749.50 × 115,195.44
  4. Step 4: Simplify right side
    210,687.96x = 33,493,016,582.28
  5. Step 5: Solve for x
    x = 33,493,016,582.28/210,687.96
  6. Step 6: Final answer
    x = 158,969.77

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1.5x scale

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.