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Finding the Fourth Proportional to 78,668.28, 108,505.92 and 48,413.94

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Solution

The fourth proportional to 78,668.28, 108,505.92 and 48,413.94 is: 66,776.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,668.28 : 108,505.92 = 48,413.94 : x
  2. Step 2: Convert to fraction form
    78,668.28/108,505.92 = 48,413.94/x
  3. Step 3: Cross multiply
    78,668.28x = 108,505.92 × 48,413.94
  4. Step 4: Simplify right side
    78,668.28x = 5,253,199,100.52
  5. Step 5: Solve for x
    x = 5,253,199,100.52/78,668.28
  6. Step 6: Final answer
    x = 66,776.59

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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.