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Finding the Fourth Proportional to 133,008.21, 199,406.75 and 76,784.76

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Solution

The fourth proportional to 133,008.21, 199,406.75 and 76,784.76 is: 115,116.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,008.21 : 199,406.75 = 76,784.76 : x
  2. Step 2: Convert to fraction form
    133,008.21/199,406.75 = 76,784.76/x
  3. Step 3: Cross multiply
    133,008.21x = 199,406.75 × 76,784.76
  4. Step 4: Simplify right side
    133,008.21x = 15,311,399,057.21
  5. Step 5: Solve for x
    x = 15,311,399,057.21/133,008.21
  6. Step 6: Final answer
    x = 115,116.20

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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.