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Finding the Fourth Proportional to 218,950.56, 302,153.22 and 138,414.42

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Solution

The fourth proportional to 218,950.56, 302,153.22 and 138,414.42 is: 191,012.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,950.56 : 302,153.22 = 138,414.42 : x
  2. Step 2: Convert to fraction form
    218,950.56/302,153.22 = 138,414.42/x
  3. Step 3: Cross multiply
    218,950.56x = 302,153.22 × 138,414.42
  4. Step 4: Simplify right side
    218,950.56x = 41,822,362,697.43
  5. Step 5: Solve for x
    x = 41,822,362,697.43/218,950.56
  6. Step 6: Final answer
    x = 191,012.81

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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.