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Finding the Fourth Proportional to 234,678, 352,017 and 76,917.54

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Solution

The fourth proportional to 234,678, 352,017 and 76,917.54 is: 115,376.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,678 : 352,017 = 76,917.54 : x
  2. Step 2: Convert to fraction form
    234,678/352,017 = 76,917.54/x
  3. Step 3: Cross multiply
    234,678x = 352,017 × 76,917.54
  4. Step 4: Simplify right side
    234,678x = 27,076,281,678.18
  5. Step 5: Solve for x
    x = 27,076,281,678.18/234,678
  6. Step 6: Final answer
    x = 115,376.31

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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.