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Finding the Fourth Proportional to 200,777.76, 300,987.96 and 76,206.24

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Solution

The fourth proportional to 200,777.76, 300,987.96 and 76,206.24 is: 114,241.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,777.76 : 300,987.96 = 76,206.24 : x
  2. Step 2: Convert to fraction form
    200,777.76/300,987.96 = 76,206.24/x
  3. Step 3: Cross multiply
    200,777.76x = 300,987.96 × 76,206.24
  4. Step 4: Simplify right side
    200,777.76x = 22,937,160,716.87
  5. Step 5: Solve for x
    x = 22,937,160,716.87/200,777.76
  6. Step 6: Final answer
    x = 114,241.54

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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.