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Finding the Fourth Proportional to 76,757.40, 105,906.78 and 43,223.40

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Solution

The fourth proportional to 76,757.40, 105,906.78 and 43,223.40 is: 59,637.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,757.40 : 105,906.78 = 43,223.40 : x
  2. Step 2: Convert to fraction form
    76,757.40/105,906.78 = 43,223.40/x
  3. Step 3: Cross multiply
    76,757.40x = 105,906.78 × 43,223.40
  4. Step 4: Simplify right side
    76,757.40x = 4,577,651,114.65
  5. Step 5: Solve for x
    x = 4,577,651,114.65/76,757.40
  6. Step 6: Final answer
    x = 59,637.91

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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.