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Finding the Fourth Proportional to 133,866.81, 184,584.79 and 85,403.96

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Solution

The fourth proportional to 133,866.81, 184,584.79 and 85,403.96 is: 117,760.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,866.81 : 184,584.79 = 85,403.96 : x
  2. Step 2: Convert to fraction form
    133,866.81/184,584.79 = 85,403.96/x
  3. Step 3: Cross multiply
    133,866.81x = 184,584.79 × 85,403.96
  4. Step 4: Simplify right side
    133,866.81x = 15,764,272,021.77
  5. Step 5: Solve for x
    x = 15,764,272,021.77/133,866.81
  6. Step 6: Final answer
    x = 117,760.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.