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Finding the Fourth Proportional to 81,351.64, 121,690.50 and 76,375

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Solution

The fourth proportional to 81,351.64, 121,690.50 and 76,375 is: 114,246.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,351.64 : 121,690.50 = 76,375 : x
  2. Step 2: Convert to fraction form
    81,351.64/121,690.50 = 76,375/x
  3. Step 3: Cross multiply
    81,351.64x = 121,690.50 × 76,375
  4. Step 4: Simplify right side
    81,351.64x = 9,294,111,937.50
  5. Step 5: Solve for x
    x = 9,294,111,937.50/81,351.64
  6. Step 6: Final answer
    x = 114,246.15

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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.