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Finding the Fourth Proportional to 71,676.67, 98,916.34 and 39,413.74

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Solution

The fourth proportional to 71,676.67, 98,916.34 and 39,413.74 is: 54,392.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,676.67 : 98,916.34 = 39,413.74 : x
  2. Step 2: Convert to fraction form
    71,676.67/98,916.34 = 39,413.74/x
  3. Step 3: Cross multiply
    71,676.67x = 98,916.34 × 39,413.74
  4. Step 4: Simplify right side
    71,676.67x = 3,898,662,906.51
  5. Step 5: Solve for x
    x = 3,898,662,906.51/71,676.67
  6. Step 6: Final answer
    x = 54,392.36

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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.