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Finding the Fourth Proportional to 299,165.42, 448,744.66 and 85,938.56

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Solution

The fourth proportional to 299,165.42, 448,744.66 and 85,938.56 is: 128,906.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,165.42 : 448,744.66 = 85,938.56 : x
  2. Step 2: Convert to fraction form
    299,165.42/448,744.66 = 85,938.56/x
  3. Step 3: Cross multiply
    299,165.42x = 448,744.66 × 85,938.56
  4. Step 4: Simplify right side
    299,165.42x = 38,564,469,888.09
  5. Step 5: Solve for x
    x = 38,564,469,888.09/299,165.42
  6. Step 6: Final answer
    x = 128,906.84

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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.