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Finding the Fourth Proportional to 130,413.97, 179,978.03 and 73,049.92

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Solution

The fourth proportional to 130,413.97, 179,978.03 and 73,049.92 is: 100,812.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,413.97 : 179,978.03 = 73,049.92 : x
  2. Step 2: Convert to fraction form
    130,413.97/179,978.03 = 73,049.92/x
  3. Step 3: Cross multiply
    130,413.97x = 179,978.03 × 73,049.92
  4. Step 4: Simplify right side
    130,413.97x = 13,147,380,693.26
  5. Step 5: Solve for x
    x = 13,147,380,693.26/130,413.97
  6. Step 6: Final answer
    x = 100,812.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.