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Finding the Fourth Proportional to 290,141.68, 435,161.22 and 76,911.88

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Solution

The fourth proportional to 290,141.68, 435,161.22 and 76,911.88 is: 115,354.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,141.68 : 435,161.22 = 76,911.88 : x
  2. Step 2: Convert to fraction form
    290,141.68/435,161.22 = 76,911.88/x
  3. Step 3: Cross multiply
    290,141.68x = 435,161.22 × 76,911.88
  4. Step 4: Simplify right side
    290,141.68x = 33,469,067,533.29
  5. Step 5: Solve for x
    x = 33,469,067,533.29/290,141.68
  6. Step 6: Final answer
    x = 115,354.22

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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.