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Finding the Fourth Proportional to 76,740, 115,109.18 and 29,992.46

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Solution

The fourth proportional to 76,740, 115,109.18 and 29,992.46 is: 44,988.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,740 : 115,109.18 = 29,992.46 : x
  2. Step 2: Convert to fraction form
    76,740/115,109.18 = 29,992.46/x
  3. Step 3: Cross multiply
    76,740x = 115,109.18 × 29,992.46
  4. Step 4: Simplify right side
    76,740x = 3,452,407,476.78
  5. Step 5: Solve for x
    x = 3,452,407,476.78/76,740
  6. Step 6: Final answer
    x = 44,988.37

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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.