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Finding the Fourth Proportional to 76,989.60, 115,460.40 and 30,256.80

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Solution

The fourth proportional to 76,989.60, 115,460.40 and 30,256.80 is: 45,375.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,989.60 : 115,460.40 = 30,256.80 : x
  2. Step 2: Convert to fraction form
    76,989.60/115,460.40 = 30,256.80/x
  3. Step 3: Cross multiply
    76,989.60x = 115,460.40 × 30,256.80
  4. Step 4: Simplify right side
    76,989.60x = 3,493,462,230.72
  5. Step 5: Solve for x
    x = 3,493,462,230.72/76,989.60
  6. Step 6: Final answer
    x = 45,375.77

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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.