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Finding the Fourth Proportional to 118,536, 177,804 and 30,984

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Solution

The fourth proportional to 118,536, 177,804 and 30,984 is: 46,476

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,536 : 177,804 = 30,984 : x
  2. Step 2: Convert to fraction form
    118,536/177,804 = 30,984/x
  3. Step 3: Cross multiply
    118,536x = 177,804 × 30,984
  4. Step 4: Simplify right side
    118,536x = 5,509,079,136
  5. Step 5: Solve for x
    x = 5,509,079,136/118,536
  6. Step 6: Final answer
    x = 46,476

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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.