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Finding the Fourth Proportional to 152,991.72, 229,408.56 and 68,679.54

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Solution

The fourth proportional to 152,991.72, 229,408.56 and 68,679.54 is: 102,983.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,991.72 : 229,408.56 = 68,679.54 : x
  2. Step 2: Convert to fraction form
    152,991.72/229,408.56 = 68,679.54/x
  3. Step 3: Cross multiply
    152,991.72x = 229,408.56 × 68,679.54
  4. Step 4: Simplify right side
    152,991.72x = 15,755,674,372.86
  5. Step 5: Solve for x
    x = 15,755,674,372.86/152,991.72
  6. Step 6: Final answer
    x = 102,983.84

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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.