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Finding the Fourth Proportional to 223,984.67, 309,099.26 and 133,343.78

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Solution

The fourth proportional to 223,984.67, 309,099.26 and 133,343.78 is: 184,014.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,984.67 : 309,099.26 = 133,343.78 : x
  2. Step 2: Convert to fraction form
    223,984.67/309,099.26 = 133,343.78/x
  3. Step 3: Cross multiply
    223,984.67x = 309,099.26 × 133,343.78
  4. Step 4: Simplify right side
    223,984.67x = 41,216,462,511.47
  5. Step 5: Solve for x
    x = 41,216,462,511.47/223,984.67
  6. Step 6: Final answer
    x = 184,014.66

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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.