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Finding the Fourth Proportional to 51,343.92, 77,040.36 and 27,969.84

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Solution

The fourth proportional to 51,343.92, 77,040.36 and 27,969.84 is: 41,968.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,343.92 : 77,040.36 = 27,969.84 : x
  2. Step 2: Convert to fraction form
    51,343.92/77,040.36 = 27,969.84/x
  3. Step 3: Cross multiply
    51,343.92x = 77,040.36 × 27,969.84
  4. Step 4: Simplify right side
    51,343.92x = 2,154,806,542.74
  5. Step 5: Solve for x
    x = 2,154,806,542.74/51,343.92
  6. Step 6: Final answer
    x = 41,968.10

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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.