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Finding the Fourth Proportional to 76,489.70, 114,690 and 29,687.90

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Solution

The fourth proportional to 76,489.70, 114,690 and 29,687.90 is: 44,514.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,489.70 : 114,690 = 29,687.90 : x
  2. Step 2: Convert to fraction form
    76,489.70/114,690 = 29,687.90/x
  3. Step 3: Cross multiply
    76,489.70x = 114,690 × 29,687.90
  4. Step 4: Simplify right side
    76,489.70x = 3,404,905,251
  5. Step 5: Solve for x
    x = 3,404,905,251/76,489.70
  6. Step 6: Final answer
    x = 44,514.56

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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.