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Finding the Fourth Proportional to 188,790, 283,185 and 77,984.88

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Solution

The fourth proportional to 188,790, 283,185 and 77,984.88 is: 116,977.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,790 : 283,185 = 77,984.88 : x
  2. Step 2: Convert to fraction form
    188,790/283,185 = 77,984.88/x
  3. Step 3: Cross multiply
    188,790x = 283,185 × 77,984.88
  4. Step 4: Simplify right side
    188,790x = 22,084,148,242.80
  5. Step 5: Solve for x
    x = 22,084,148,242.80/188,790
  6. Step 6: Final answer
    x = 116,977.32

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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.