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Finding the Fourth Proportional to 133,542.40, 200,313.60 and 120,420.40

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Solution

The fourth proportional to 133,542.40, 200,313.60 and 120,420.40 is: 180,630.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,542.40 : 200,313.60 = 120,420.40 : x
  2. Step 2: Convert to fraction form
    133,542.40/200,313.60 = 120,420.40/x
  3. Step 3: Cross multiply
    133,542.40x = 200,313.60 × 120,420.40
  4. Step 4: Simplify right side
    133,542.40x = 24,121,843,837.44
  5. Step 5: Solve for x
    x = 24,121,843,837.44/133,542.40
  6. Step 6: Final answer
    x = 180,630.60

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1.5x scale

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.