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Finding the Fourth Proportional to 208,414.53, 312,365.32 and 118,532.68

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Solution

The fourth proportional to 208,414.53, 312,365.32 and 118,532.68 is: 177,653.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,414.53 : 312,365.32 = 118,532.68 : x
  2. Step 2: Convert to fraction form
    208,414.53/312,365.32 = 118,532.68/x
  3. Step 3: Cross multiply
    208,414.53x = 312,365.32 × 118,532.68
  4. Step 4: Simplify right side
    208,414.53x = 37,025,498,518.66
  5. Step 5: Solve for x
    x = 37,025,498,518.66/208,414.53
  6. Step 6: Final answer
    x = 177,653.15

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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.