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Finding the Fourth Proportional to 51,142, 70,608.28 and 39,183.12

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Solution

The fourth proportional to 51,142, 70,608.28 and 39,183.12 is: 54,097.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,142 : 70,608.28 = 39,183.12 : x
  2. Step 2: Convert to fraction form
    51,142/70,608.28 = 39,183.12/x
  3. Step 3: Cross multiply
    51,142x = 70,608.28 × 39,183.12
  4. Step 4: Simplify right side
    51,142x = 2,766,652,708.23
  5. Step 5: Solve for x
    x = 2,766,652,708.23/51,142
  6. Step 6: Final answer
    x = 54,097.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.