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Finding the Fourth Proportional to 85,823, 128,753.97 and 30,419

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Solution

The fourth proportional to 85,823, 128,753.97 and 30,419 is: 45,635.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,823 : 128,753.97 = 30,419 : x
  2. Step 2: Convert to fraction form
    85,823/128,753.97 = 30,419/x
  3. Step 3: Cross multiply
    85,823x = 128,753.97 × 30,419
  4. Step 4: Simplify right side
    85,823x = 3,916,567,013.43
  5. Step 5: Solve for x
    x = 3,916,567,013.43/85,823
  6. Step 6: Final answer
    x = 45,635.40

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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.