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Finding the Fourth Proportional to 252,099.82, 347,897.74 and 138,922.57

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Solution

The fourth proportional to 252,099.82, 347,897.74 and 138,922.57 is: 191,713.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,099.82 : 347,897.74 = 138,922.57 : x
  2. Step 2: Convert to fraction form
    252,099.82/347,897.74 = 138,922.57/x
  3. Step 3: Cross multiply
    252,099.82x = 347,897.74 × 138,922.57
  4. Step 4: Simplify right side
    252,099.82x = 48,330,848,137.99
  5. Step 5: Solve for x
    x = 48,330,848,137.99/252,099.82
  6. Step 6: Final answer
    x = 191,713.14

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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.