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Finding the Fourth Proportional to 210,834.21, 290,958.21 and 115,340.90

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Solution

The fourth proportional to 210,834.21, 290,958.21 and 115,340.90 is: 159,174.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,834.21 : 290,958.21 = 115,340.90 : x
  2. Step 2: Convert to fraction form
    210,834.21/290,958.21 = 115,340.90/x
  3. Step 3: Cross multiply
    210,834.21x = 290,958.21 × 115,340.90
  4. Step 4: Simplify right side
    210,834.21x = 33,559,380,349.00
  5. Step 5: Solve for x
    x = 33,559,380,349.00/210,834.21
  6. Step 6: Final answer
    x = 159,174.27

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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.