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Finding the Fourth Proportional to 175,628.80, 263,140.80 and 81,942.40

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Solution

The fourth proportional to 175,628.80, 263,140.80 and 81,942.40 is: 122,772.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,628.80 : 263,140.80 = 81,942.40 : x
  2. Step 2: Convert to fraction form
    175,628.80/263,140.80 = 81,942.40/x
  3. Step 3: Cross multiply
    175,628.80x = 263,140.80 × 81,942.40
  4. Step 4: Simplify right side
    175,628.80x = 21,562,388,689.92
  5. Step 5: Solve for x
    x = 21,562,388,689.92/175,628.80
  6. Step 6: Final answer
    x = 122,772.51

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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.