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Finding the Fourth Proportional to 152,163.70, 228,245.55 and 142,249.30

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Solution

The fourth proportional to 152,163.70, 228,245.55 and 142,249.30 is: 213,373.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,163.70 : 228,245.55 = 142,249.30 : x
  2. Step 2: Convert to fraction form
    152,163.70/228,245.55 = 142,249.30/x
  3. Step 3: Cross multiply
    152,163.70x = 228,245.55 × 142,249.30
  4. Step 4: Simplify right side
    152,163.70x = 32,467,769,715.62
  5. Step 5: Solve for x
    x = 32,467,769,715.62/152,163.70
  6. Step 6: Final answer
    x = 213,373.95

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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.