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Finding the Fourth Proportional to 208,959.25, 288,363.78 and 119,535.25

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Solution

The fourth proportional to 208,959.25, 288,363.78 and 119,535.25 is: 164,958.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,959.25 : 288,363.78 = 119,535.25 : x
  2. Step 2: Convert to fraction form
    208,959.25/288,363.78 = 119,535.25/x
  3. Step 3: Cross multiply
    208,959.25x = 288,363.78 × 119,535.25
  4. Step 4: Simplify right side
    208,959.25x = 34,469,636,533.25
  5. Step 5: Solve for x
    x = 34,469,636,533.25/208,959.25
  6. Step 6: Final answer
    x = 164,958.65

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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.