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Finding the Fourth Proportional to 234,647.36, 352,020.80 and 76,864

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Solution

The fourth proportional to 234,647.36, 352,020.80 and 76,864 is: 115,312.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,647.36 : 352,020.80 = 76,864 : x
  2. Step 2: Convert to fraction form
    234,647.36/352,020.80 = 76,864/x
  3. Step 3: Cross multiply
    234,647.36x = 352,020.80 × 76,864
  4. Step 4: Simplify right side
    234,647.36x = 27,057,726,771.20
  5. Step 5: Solve for x
    x = 27,057,726,771.20/234,647.36
  6. Step 6: Final answer
    x = 115,312.30

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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.