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Finding the Fourth Proportional to 180,811.40, 270,957.90 and 133,053.80

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Solution

The fourth proportional to 180,811.40, 270,957.90 and 133,053.80 is: 199,389.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,811.40 : 270,957.90 = 133,053.80 : x
  2. Step 2: Convert to fraction form
    180,811.40/270,957.90 = 133,053.80/x
  3. Step 3: Cross multiply
    180,811.40x = 270,957.90 × 133,053.80
  4. Step 4: Simplify right side
    180,811.40x = 36,051,978,235.02
  5. Step 5: Solve for x
    x = 36,051,978,235.02/180,811.40
  6. Step 6: Final answer
    x = 199,389.96

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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.