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Finding the Fourth Proportional to 265,125.42, 397,715.81 and 85,165.43

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Solution

The fourth proportional to 265,125.42, 397,715.81 and 85,165.43 is: 127,757.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,125.42 : 397,715.81 = 85,165.43 : x
  2. Step 2: Convert to fraction form
    265,125.42/397,715.81 = 85,165.43/x
  3. Step 3: Cross multiply
    265,125.42x = 397,715.81 × 85,165.43
  4. Step 4: Simplify right side
    265,125.42x = 33,871,635,562.04
  5. Step 5: Solve for x
    x = 33,871,635,562.04/265,125.42
  6. Step 6: Final answer
    x = 127,757.03

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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.