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Finding the Fourth Proportional to 122,679.72, 184,019.36 and 38,446.34

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Solution

The fourth proportional to 122,679.72, 184,019.36 and 38,446.34 is: 57,669.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,679.72 : 184,019.36 = 38,446.34 : x
  2. Step 2: Convert to fraction form
    122,679.72/184,019.36 = 38,446.34/x
  3. Step 3: Cross multiply
    122,679.72x = 184,019.36 × 38,446.34
  4. Step 4: Simplify right side
    122,679.72x = 7,074,869,768.81
  5. Step 5: Solve for x
    x = 7,074,869,768.81/122,679.72
  6. Step 6: Final answer
    x = 57,669.43

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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.