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Finding the Fourth Proportional to 76,765.04, 115,147.56 and 43,910

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Solution

The fourth proportional to 76,765.04, 115,147.56 and 43,910 is: 65,865

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,765.04 : 115,147.56 = 43,910 : x
  2. Step 2: Convert to fraction form
    76,765.04/115,147.56 = 43,910/x
  3. Step 3: Cross multiply
    76,765.04x = 115,147.56 × 43,910
  4. Step 4: Simplify right side
    76,765.04x = 5,056,129,359.60
  5. Step 5: Solve for x
    x = 5,056,129,359.60/76,765.04
  6. Step 6: Final answer
    x = 65,865

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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.