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Finding the Fourth Proportional to 76,645.73, 114,968.64 and 21,241.73

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Solution

The fourth proportional to 76,645.73, 114,968.64 and 21,241.73 is: 31,862.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,645.73 : 114,968.64 = 21,241.73 : x
  2. Step 2: Convert to fraction form
    76,645.73/114,968.64 = 21,241.73/x
  3. Step 3: Cross multiply
    76,645.73x = 114,968.64 × 21,241.73
  4. Step 4: Simplify right side
    76,645.73x = 2,442,132,809.35
  5. Step 5: Solve for x
    x = 2,442,132,809.35/76,645.73
  6. Step 6: Final answer
    x = 31,862.61

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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.