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Finding the Fourth Proportional to 254,171.43, 381,259.89 and 76,679.98

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Solution

The fourth proportional to 254,171.43, 381,259.89 and 76,679.98 is: 115,020.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,171.43 : 381,259.89 = 76,679.98 : x
  2. Step 2: Convert to fraction form
    254,171.43/381,259.89 = 76,679.98/x
  3. Step 3: Cross multiply
    254,171.43x = 381,259.89 × 76,679.98
  4. Step 4: Simplify right side
    254,171.43x = 29,235,000,740.00
  5. Step 5: Solve for x
    x = 29,235,000,740.00/254,171.43
  6. Step 6: Final answer
    x = 115,020.80

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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.