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Finding the Fourth Proportional to 188,517.80, 282,569.34 and 77,649.32

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Solution

The fourth proportional to 188,517.80, 282,569.34 and 77,649.32 is: 116,388.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,517.80 : 282,569.34 = 77,649.32 : x
  2. Step 2: Convert to fraction form
    188,517.80/282,569.34 = 77,649.32/x
  3. Step 3: Cross multiply
    188,517.80x = 282,569.34 × 77,649.32
  4. Step 4: Simplify right side
    188,517.80x = 21,941,317,103.85
  5. Step 5: Solve for x
    x = 21,941,317,103.85/188,517.80
  6. Step 6: Final answer
    x = 116,388.57

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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.