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Finding the Fourth Proportional to 133,730.88, 200,419.20 and 111,588

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Solution

The fourth proportional to 133,730.88, 200,419.20 and 111,588 is: 167,234.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,730.88 : 200,419.20 = 111,588 : x
  2. Step 2: Convert to fraction form
    133,730.88/200,419.20 = 111,588/x
  3. Step 3: Cross multiply
    133,730.88x = 200,419.20 × 111,588
  4. Step 4: Simplify right side
    133,730.88x = 22,364,377,689.60
  5. Step 5: Solve for x
    x = 22,364,377,689.60/133,730.88
  6. Step 6: Final answer
    x = 167,234.21

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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.