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Finding the Fourth Proportional to 133,988.50, 200,714.82 and 80,650.90

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Solution

The fourth proportional to 133,988.50, 200,714.82 and 80,650.90 is: 120,815.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,988.50 : 200,714.82 = 80,650.90 : x
  2. Step 2: Convert to fraction form
    133,988.50/200,714.82 = 80,650.90/x
  3. Step 3: Cross multiply
    133,988.50x = 200,714.82 × 80,650.90
  4. Step 4: Simplify right side
    133,988.50x = 16,187,830,876.34
  5. Step 5: Solve for x
    x = 16,187,830,876.34/133,988.50
  6. Step 6: Final answer
    x = 120,815.08

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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.