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Finding the Fourth Proportional to 210,903.26, 291,046.50 and 115,409.97

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Solution

The fourth proportional to 210,903.26, 291,046.50 and 115,409.97 is: 159,265.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,903.26 : 291,046.50 = 115,409.97 : x
  2. Step 2: Convert to fraction form
    210,903.26/291,046.50 = 115,409.97/x
  3. Step 3: Cross multiply
    210,903.26x = 291,046.50 × 115,409.97
  4. Step 4: Simplify right side
    210,903.26x = 33,589,667,833.61
  5. Step 5: Solve for x
    x = 33,589,667,833.61/210,903.26
  6. Step 6: Final answer
    x = 159,265.76

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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.