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Finding the Fourth Proportional to 85,209.72, 127,871.46 and 29,805.72

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Solution

The fourth proportional to 85,209.72, 127,871.46 and 29,805.72 is: 44,728.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,209.72 : 127,871.46 = 29,805.72 : x
  2. Step 2: Convert to fraction form
    85,209.72/127,871.46 = 29,805.72/x
  3. Step 3: Cross multiply
    85,209.72x = 127,871.46 × 29,805.72
  4. Step 4: Simplify right side
    85,209.72x = 3,811,300,932.75
  5. Step 5: Solve for x
    x = 3,811,300,932.75/85,209.72
  6. Step 6: Final answer
    x = 44,728.48

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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.