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Finding the Fourth Proportional to 85,476, 128,199.12 and 23,131.92

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Solution

The fourth proportional to 85,476, 128,199.12 and 23,131.92 is: 34,693.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,476 : 128,199.12 = 23,131.92 : x
  2. Step 2: Convert to fraction form
    85,476/128,199.12 = 23,131.92/x
  3. Step 3: Cross multiply
    85,476x = 128,199.12 × 23,131.92
  4. Step 4: Simplify right side
    85,476x = 2,965,491,787.91
  5. Step 5: Solve for x
    x = 2,965,491,787.91/85,476
  6. Step 6: Final answer
    x = 34,693.85

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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.