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Finding the Fourth Proportional to 262,872.64, 394,421.94 and 85,434.04

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Solution

The fourth proportional to 262,872.64, 394,421.94 and 85,434.04 is: 128,187.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,872.64 : 394,421.94 = 85,434.04 : x
  2. Step 2: Convert to fraction form
    262,872.64/394,421.94 = 85,434.04/x
  3. Step 3: Cross multiply
    262,872.64x = 394,421.94 × 85,434.04
  4. Step 4: Simplify right side
    262,872.64x = 33,697,059,798.84
  5. Step 5: Solve for x
    x = 33,697,059,798.84/262,872.64
  6. Step 6: Final answer
    x = 128,187.78

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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.