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Finding the Fourth Proportional to 78,640.77, 108,596.40 and 49,969.89

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Solution

The fourth proportional to 78,640.77, 108,596.40 and 49,969.89 is: 69,004.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,640.77 : 108,596.40 = 49,969.89 : x
  2. Step 2: Convert to fraction form
    78,640.77/108,596.40 = 49,969.89/x
  3. Step 3: Cross multiply
    78,640.77x = 108,596.40 × 49,969.89
  4. Step 4: Simplify right side
    78,640.77x = 5,426,550,162.40
  5. Step 5: Solve for x
    x = 5,426,550,162.40/78,640.77
  6. Step 6: Final answer
    x = 69,004.29

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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.