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Finding the Fourth Proportional to 133,858, 184,720.72 and 76,493.68

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Solution

The fourth proportional to 133,858, 184,720.72 and 76,493.68 is: 105,559.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,858 : 184,720.72 = 76,493.68 : x
  2. Step 2: Convert to fraction form
    133,858/184,720.72 = 76,493.68/x
  3. Step 3: Cross multiply
    133,858x = 184,720.72 × 76,493.68
  4. Step 4: Simplify right side
    133,858x = 14,129,967,645.05
  5. Step 5: Solve for x
    x = 14,129,967,645.05/133,858
  6. Step 6: Final answer
    x = 105,559.38

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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.