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Finding the Fourth Proportional to 188,480.15, 282,719.64 and 76,159.07

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Solution

The fourth proportional to 188,480.15, 282,719.64 and 76,159.07 is: 114,238.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,480.15 : 282,719.64 = 76,159.07 : x
  2. Step 2: Convert to fraction form
    188,480.15/282,719.64 = 76,159.07/x
  3. Step 3: Cross multiply
    188,480.15x = 282,719.64 × 76,159.07
  4. Step 4: Simplify right side
    188,480.15x = 21,531,663,439.54
  5. Step 5: Solve for x
    x = 21,531,663,439.54/188,480.15
  6. Step 6: Final answer
    x = 114,238.36

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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.