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Finding the Fourth Proportional to 133,520.80, 200,142.76 and 83,486.04

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Solution

The fourth proportional to 133,520.80, 200,142.76 and 83,486.04 is: 125,142.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,520.80 : 200,142.76 = 83,486.04 : x
  2. Step 2: Convert to fraction form
    133,520.80/200,142.76 = 83,486.04/x
  3. Step 3: Cross multiply
    133,520.80x = 200,142.76 × 83,486.04
  4. Step 4: Simplify right side
    133,520.80x = 16,709,125,466.36
  5. Step 5: Solve for x
    x = 16,709,125,466.36/133,520.80
  6. Step 6: Final answer
    x = 125,142.49

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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.