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Finding the Fourth Proportional to 133,315.20, 199,972.80 and 120,412.80

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Solution

The fourth proportional to 133,315.20, 199,972.80 and 120,412.80 is: 180,619.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,315.20 : 199,972.80 = 120,412.80 : x
  2. Step 2: Convert to fraction form
    133,315.20/199,972.80 = 120,412.80/x
  3. Step 3: Cross multiply
    133,315.20x = 199,972.80 × 120,412.80
  4. Step 4: Simplify right side
    133,315.20x = 24,079,284,771.84
  5. Step 5: Solve for x
    x = 24,079,284,771.84/133,315.20
  6. Step 6: Final answer
    x = 180,619.20

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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.