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Finding the Fourth Proportional to 71,676.80, 98,916.51 and 39,413.87

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Solution

The fourth proportional to 71,676.80, 98,916.51 and 39,413.87 is: 54,392.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,676.80 : 98,916.51 = 39,413.87 : x
  2. Step 2: Convert to fraction form
    71,676.80/98,916.51 = 39,413.87/x
  3. Step 3: Cross multiply
    71,676.80x = 98,916.51 × 39,413.87
  4. Step 4: Simplify right side
    71,676.80x = 3,898,681,971.41
  5. Step 5: Solve for x
    x = 3,898,681,971.41/71,676.80
  6. Step 6: Final answer
    x = 54,392.53

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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.