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Finding the Fourth Proportional to 188,017.90, 282,112.97 and 81,434.46

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Solution

The fourth proportional to 188,017.90, 282,112.97 and 81,434.46 is: 122,188.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,017.90 : 282,112.97 = 81,434.46 : x
  2. Step 2: Convert to fraction form
    188,017.90/282,112.97 = 81,434.46/x
  3. Step 3: Cross multiply
    188,017.90x = 282,112.97 × 81,434.46
  4. Step 4: Simplify right side
    188,017.90x = 22,973,716,163.97
  5. Step 5: Solve for x
    x = 22,973,716,163.97/188,017.90
  6. Step 6: Final answer
    x = 122,188.98

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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.