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Finding the Fourth Proportional to 71,696.84, 98,939.04 and 39,431.18

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Solution

The fourth proportional to 71,696.84, 98,939.04 and 39,431.18 is: 54,413.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,696.84 : 98,939.04 = 39,431.18 : x
  2. Step 2: Convert to fraction form
    71,696.84/98,939.04 = 39,431.18/x
  3. Step 3: Cross multiply
    71,696.84x = 98,939.04 × 39,431.18
  4. Step 4: Simplify right side
    71,696.84x = 3,901,283,095.27
  5. Step 5: Solve for x
    x = 3,901,283,095.27/71,696.84
  6. Step 6: Final answer
    x = 54,413.60

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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.