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Finding the Fourth Proportional to 71,676.89, 98,916.65 and 39,413.96

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Solution

The fourth proportional to 71,676.89, 98,916.65 and 39,413.96 is: 54,392.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,676.89 : 98,916.65 = 39,413.96 : x
  2. Step 2: Convert to fraction form
    71,676.89/98,916.65 = 39,413.96/x
  3. Step 3: Cross multiply
    71,676.89x = 98,916.65 × 39,413.96
  4. Step 4: Simplify right side
    71,676.89x = 3,898,696,194.78
  5. Step 5: Solve for x
    x = 3,898,696,194.78/71,676.89
  6. Step 6: Final answer
    x = 54,392.65

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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.