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Finding the Fourth Proportional to 85,309.82, 127,964.70 and 45,812.60

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Solution

The fourth proportional to 85,309.82, 127,964.70 and 45,812.60 is: 68,718.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,309.82 : 127,964.70 = 45,812.60 : x
  2. Step 2: Convert to fraction form
    85,309.82/127,964.70 = 45,812.60/x
  3. Step 3: Cross multiply
    85,309.82x = 127,964.70 × 45,812.60
  4. Step 4: Simplify right side
    85,309.82x = 5,862,394,975.40
  5. Step 5: Solve for x
    x = 5,862,394,975.40/85,309.82
  6. Step 6: Final answer
    x = 68,718.88

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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.