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Finding the Fourth Proportional to 71,676.92, 98,914.82 and 39,413.21

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Solution

The fourth proportional to 71,676.92, 98,914.82 and 39,413.21 is: 54,390.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,676.92 : 98,914.82 = 39,413.21 : x
  2. Step 2: Convert to fraction form
    71,676.92/98,914.82 = 39,413.21/x
  3. Step 3: Cross multiply
    71,676.92x = 98,914.82 × 39,413.21
  4. Step 4: Simplify right side
    71,676.92x = 3,898,549,881.13
  5. Step 5: Solve for x
    x = 3,898,549,881.13/71,676.92
  6. Step 6: Final answer
    x = 54,390.59

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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.