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Finding the Fourth Proportional to 100,822.80, 151,282.80 and 71,176.80

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Solution

The fourth proportional to 100,822.80, 151,282.80 and 71,176.80 is: 106,799.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,822.80 : 151,282.80 = 71,176.80 : x
  2. Step 2: Convert to fraction form
    100,822.80/151,282.80 = 71,176.80/x
  3. Step 3: Cross multiply
    100,822.80x = 151,282.80 × 71,176.80
  4. Step 4: Simplify right side
    100,822.80x = 10,767,825,599.04
  5. Step 5: Solve for x
    x = 10,767,825,599.04/100,822.80
  6. Step 6: Final answer
    x = 106,799.51

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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.