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Finding the Fourth Proportional to 208,415.54, 312,366.83 and 118,533.68

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Solution

The fourth proportional to 208,415.54, 312,366.83 and 118,533.68 is: 177,654.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,415.54 : 312,366.83 = 118,533.68 : x
  2. Step 2: Convert to fraction form
    208,415.54/312,366.83 = 118,533.68/x
  3. Step 3: Cross multiply
    208,415.54x = 312,366.83 × 118,533.68
  4. Step 4: Simplify right side
    208,415.54x = 37,025,987,715.33
  5. Step 5: Solve for x
    x = 37,025,987,715.33/208,415.54
  6. Step 6: Final answer
    x = 177,654.64

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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.