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Finding the Fourth Proportional to 72,988.86, 100,724.56 and 39,454.86

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Solution

The fourth proportional to 72,988.86, 100,724.56 and 39,454.86 is: 54,447.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,988.86 : 100,724.56 = 39,454.86 : x
  2. Step 2: Convert to fraction form
    72,988.86/100,724.56 = 39,454.86/x
  3. Step 3: Cross multiply
    72,988.86x = 100,724.56 × 39,454.86
  4. Step 4: Simplify right side
    72,988.86x = 3,974,073,413.36
  5. Step 5: Solve for x
    x = 3,974,073,413.36/72,988.86
  6. Step 6: Final answer
    x = 54,447.67

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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.