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Finding the Fourth Proportional to 76,912.80, 115,374.60 and 43,648.80

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Solution

The fourth proportional to 76,912.80, 115,374.60 and 43,648.80 is: 65,476.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,912.80 : 115,374.60 = 43,648.80 : x
  2. Step 2: Convert to fraction form
    76,912.80/115,374.60 = 43,648.80/x
  3. Step 3: Cross multiply
    76,912.80x = 115,374.60 × 43,648.80
  4. Step 4: Simplify right side
    76,912.80x = 5,035,962,840.48
  5. Step 5: Solve for x
    x = 5,035,962,840.48/76,912.80
  6. Step 6: Final answer
    x = 65,476.26

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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.