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Finding the Fourth Proportional to 71,676.85, 98,916.60 and 39,413.93

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Solution

The fourth proportional to 71,676.85, 98,916.60 and 39,413.93 is: 54,392.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,676.85 : 98,916.60 = 39,413.93 : x
  2. Step 2: Convert to fraction form
    71,676.85/98,916.60 = 39,413.93/x
  3. Step 3: Cross multiply
    71,676.85x = 98,916.60 × 39,413.93
  4. Step 4: Simplify right side
    71,676.85x = 3,898,691,948.24
  5. Step 5: Solve for x
    x = 3,898,691,948.24/71,676.85
  6. Step 6: Final answer
    x = 54,392.62

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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.