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Finding the Fourth Proportional to 133,820.20, 200,730.30 and 91,829.80

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Solution

The fourth proportional to 133,820.20, 200,730.30 and 91,829.80 is: 137,744.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,820.20 : 200,730.30 = 91,829.80 : x
  2. Step 2: Convert to fraction form
    133,820.20/200,730.30 = 91,829.80/x
  3. Step 3: Cross multiply
    133,820.20x = 200,730.30 × 91,829.80
  4. Step 4: Simplify right side
    133,820.20x = 18,433,023,302.94
  5. Step 5: Solve for x
    x = 18,433,023,302.94/133,820.20
  6. Step 6: Final answer
    x = 137,744.70

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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.