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Finding the Fourth Proportional to 180,003.60, 270,005.40 and 133,347.60

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Solution

The fourth proportional to 180,003.60, 270,005.40 and 133,347.60 is: 200,021.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,003.60 : 270,005.40 = 133,347.60 : x
  2. Step 2: Convert to fraction form
    180,003.60/270,005.40 = 133,347.60/x
  3. Step 3: Cross multiply
    180,003.60x = 270,005.40 × 133,347.60
  4. Step 4: Simplify right side
    180,003.60x = 36,004,572,077.04
  5. Step 5: Solve for x
    x = 36,004,572,077.04/180,003.60
  6. Step 6: Final answer
    x = 200,021.40

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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.