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Finding the Fourth Proportional to 85,143.24, 127,583.56 and 53,912.88

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Solution

The fourth proportional to 85,143.24, 127,583.56 and 53,912.88 is: 80,786.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,143.24 : 127,583.56 = 53,912.88 : x
  2. Step 2: Convert to fraction form
    85,143.24/127,583.56 = 53,912.88/x
  3. Step 3: Cross multiply
    85,143.24x = 127,583.56 × 53,912.88
  4. Step 4: Simplify right side
    85,143.24x = 6,878,397,160.25
  5. Step 5: Solve for x
    x = 6,878,397,160.25/85,143.24
  6. Step 6: Final answer
    x = 80,786.18

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1.5x scale

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.