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Finding the Fourth Proportional to 78,804.50, 108,735.36 and 46,976.36

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Solution

The fourth proportional to 78,804.50, 108,735.36 and 46,976.36 is: 64,818.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,804.50 : 108,735.36 = 46,976.36 : x
  2. Step 2: Convert to fraction form
    78,804.50/108,735.36 = 46,976.36/x
  3. Step 3: Cross multiply
    78,804.50x = 108,735.36 × 46,976.36
  4. Step 4: Simplify right side
    78,804.50x = 5,107,991,416.09
  5. Step 5: Solve for x
    x = 5,107,991,416.09/78,804.50
  6. Step 6: Final answer
    x = 64,818.52

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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.