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Finding the Fourth Proportional to 76,581.96, 114,859.98 and 21,165

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Solution

The fourth proportional to 76,581.96, 114,859.98 and 21,165 is: 31,743.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,581.96 : 114,859.98 = 21,165 : x
  2. Step 2: Convert to fraction form
    76,581.96/114,859.98 = 21,165/x
  3. Step 3: Cross multiply
    76,581.96x = 114,859.98 × 21,165
  4. Step 4: Simplify right side
    76,581.96x = 2,431,011,476.70
  5. Step 5: Solve for x
    x = 2,431,011,476.70/76,581.96
  6. Step 6: Final answer
    x = 31,743.92

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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.