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Finding the Fourth Proportional to 133,909.80, 200,573.10 and 119,135.40

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Solution

The fourth proportional to 133,909.80, 200,573.10 and 119,135.40 is: 178,443.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,909.80 : 200,573.10 = 119,135.40 : x
  2. Step 2: Convert to fraction form
    133,909.80/200,573.10 = 119,135.40/x
  3. Step 3: Cross multiply
    133,909.80x = 200,573.10 × 119,135.40
  4. Step 4: Simplify right side
    133,909.80x = 23,895,356,497.74
  5. Step 5: Solve for x
    x = 23,895,356,497.74/133,909.80
  6. Step 6: Final answer
    x = 178,443.67

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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.