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Finding the Fourth Proportional to 148,757.88, 205,282.40 and 80,775.02

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Solution

The fourth proportional to 148,757.88, 205,282.40 and 80,775.02 is: 111,467.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,757.88 : 205,282.40 = 80,775.02 : x
  2. Step 2: Convert to fraction form
    148,757.88/205,282.40 = 80,775.02/x
  3. Step 3: Cross multiply
    148,757.88x = 205,282.40 × 80,775.02
  4. Step 4: Simplify right side
    148,757.88x = 16,581,689,965.65
  5. Step 5: Solve for x
    x = 16,581,689,965.65/148,757.88
  6. Step 6: Final answer
    x = 111,467.64

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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.