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Finding the Fourth Proportional to 78,495.48, 108,304.80 and 49,804.68

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Solution

The fourth proportional to 78,495.48, 108,304.80 and 49,804.68 is: 68,718.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,495.48 : 108,304.80 = 49,804.68 : x
  2. Step 2: Convert to fraction form
    78,495.48/108,304.80 = 49,804.68/x
  3. Step 3: Cross multiply
    78,495.48x = 108,304.80 × 49,804.68
  4. Step 4: Simplify right side
    78,495.48x = 5,394,085,906.46
  5. Step 5: Solve for x
    x = 5,394,085,906.46/78,495.48
  6. Step 6: Final answer
    x = 68,718.43

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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.