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Finding the Fourth Proportional to 133,538, 200,019.03 and 125,686.67

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Solution

The fourth proportional to 133,538, 200,019.03 and 125,686.67 is: 188,258.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,538 : 200,019.03 = 125,686.67 : x
  2. Step 2: Convert to fraction form
    133,538/200,019.03 = 125,686.67/x
  3. Step 3: Cross multiply
    133,538x = 200,019.03 × 125,686.67
  4. Step 4: Simplify right side
    133,538x = 25,139,725,817.33
  5. Step 5: Solve for x
    x = 25,139,725,817.33/133,538
  6. Step 6: Final answer
    x = 188,258.97

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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.