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Finding the Fourth Proportional to 123,318, 185,006.16 and 40,212

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Solution

The fourth proportional to 123,318, 185,006.16 and 40,212 is: 60,327.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,318 : 185,006.16 = 40,212 : x
  2. Step 2: Convert to fraction form
    123,318/185,006.16 = 40,212/x
  3. Step 3: Cross multiply
    123,318x = 185,006.16 × 40,212
  4. Step 4: Simplify right side
    123,318x = 7,439,467,705.92
  5. Step 5: Solve for x
    x = 7,439,467,705.92/123,318
  6. Step 6: Final answer
    x = 60,327.51

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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.