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Finding the Fourth Proportional to 45,866.80, 68,735.40 and 31,999.60

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Solution

The fourth proportional to 45,866.80, 68,735.40 and 31,999.60 is: 47,954.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,866.80 : 68,735.40 = 31,999.60 : x
  2. Step 2: Convert to fraction form
    45,866.80/68,735.40 = 31,999.60/x
  3. Step 3: Cross multiply
    45,866.80x = 68,735.40 × 31,999.60
  4. Step 4: Simplify right side
    45,866.80x = 2,199,505,305.84
  5. Step 5: Solve for x
    x = 2,199,505,305.84/45,866.80
  6. Step 6: Final answer
    x = 47,954.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.