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Finding the Fourth Proportional to 76,744.88, 115,131.90 and 26,839.16

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Solution

The fourth proportional to 76,744.88, 115,131.90 and 26,839.16 is: 40,263.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,744.88 : 115,131.90 = 26,839.16 : x
  2. Step 2: Convert to fraction form
    76,744.88/115,131.90 = 26,839.16/x
  3. Step 3: Cross multiply
    76,744.88x = 115,131.90 × 26,839.16
  4. Step 4: Simplify right side
    76,744.88x = 3,090,043,485.20
  5. Step 5: Solve for x
    x = 3,090,043,485.20/76,744.88
  6. Step 6: Final answer
    x = 40,263.84

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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.