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Finding the Fourth Proportional to 188,442, 282,792.60 and 77,634

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Solution

The fourth proportional to 188,442, 282,792.60 and 77,634 is: 116,504.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,442 : 282,792.60 = 77,634 : x
  2. Step 2: Convert to fraction form
    188,442/282,792.60 = 77,634/x
  3. Step 3: Cross multiply
    188,442x = 282,792.60 × 77,634
  4. Step 4: Simplify right side
    188,442x = 21,954,320,708.40
  5. Step 5: Solve for x
    x = 21,954,320,708.40/188,442
  6. Step 6: Final answer
    x = 116,504.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.