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Finding the Fourth Proportional to 133,991.84, 184,895.04 and 77,421.44

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Solution

The fourth proportional to 133,991.84, 184,895.04 and 77,421.44 is: 106,833.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,991.84 : 184,895.04 = 77,421.44 : x
  2. Step 2: Convert to fraction form
    133,991.84/184,895.04 = 77,421.44/x
  3. Step 3: Cross multiply
    133,991.84x = 184,895.04 × 77,421.44
  4. Step 4: Simplify right side
    133,991.84x = 14,314,840,245.66
  5. Step 5: Solve for x
    x = 14,314,840,245.66/133,991.84
  6. Step 6: Final answer
    x = 106,833.67

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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.