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Finding the Fourth Proportional to 76,667.76, 114,991.92 and 56,975.04

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Solution

The fourth proportional to 76,667.76, 114,991.92 and 56,975.04 is: 85,455.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,667.76 : 114,991.92 = 56,975.04 : x
  2. Step 2: Convert to fraction form
    76,667.76/114,991.92 = 56,975.04/x
  3. Step 3: Cross multiply
    76,667.76x = 114,991.92 × 56,975.04
  4. Step 4: Simplify right side
    76,667.76x = 6,551,669,241.68
  5. Step 5: Solve for x
    x = 6,551,669,241.68/76,667.76
  6. Step 6: Final answer
    x = 85,455.34

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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.