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Finding the Fourth Proportional to 118,522, 177,783 and 30,970

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Solution

The fourth proportional to 118,522, 177,783 and 30,970 is: 46,455

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,522 : 177,783 = 30,970 : x
  2. Step 2: Convert to fraction form
    118,522/177,783 = 30,970/x
  3. Step 3: Cross multiply
    118,522x = 177,783 × 30,970
  4. Step 4: Simplify right side
    118,522x = 5,505,939,510
  5. Step 5: Solve for x
    x = 5,505,939,510/118,522
  6. Step 6: Final answer
    x = 46,455

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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.