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Finding the Fourth Proportional to 51,596, 71,202.48 and 30,388.40

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Solution

The fourth proportional to 51,596, 71,202.48 and 30,388.40 is: 41,935.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,596 : 71,202.48 = 30,388.40 : x
  2. Step 2: Convert to fraction form
    51,596/71,202.48 = 30,388.40/x
  3. Step 3: Cross multiply
    51,596x = 71,202.48 × 30,388.40
  4. Step 4: Simplify right side
    51,596x = 2,163,729,443.23
  5. Step 5: Solve for x
    x = 2,163,729,443.23/51,596
  6. Step 6: Final answer
    x = 41,935.99

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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.