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Finding the Fourth Proportional to 188,264, 282,422.32 and 55,153.92

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Solution

The fourth proportional to 188,264, 282,422.32 and 55,153.92 is: 82,738.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,264 : 282,422.32 = 55,153.92 : x
  2. Step 2: Convert to fraction form
    188,264/282,422.32 = 55,153.92/x
  3. Step 3: Cross multiply
    188,264x = 282,422.32 × 55,153.92
  4. Step 4: Simplify right side
    188,264x = 15,576,698,043.49
  5. Step 5: Solve for x
    x = 15,576,698,043.49/188,264
  6. Step 6: Final answer
    x = 82,738.59

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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.