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Finding the Fourth Proportional to 180,836.40, 270,995.40 and 133,078.80

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Solution

The fourth proportional to 180,836.40, 270,995.40 and 133,078.80 is: 199,427.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,836.40 : 270,995.40 = 133,078.80 : x
  2. Step 2: Convert to fraction form
    180,836.40/270,995.40 = 133,078.80/x
  3. Step 3: Cross multiply
    180,836.40x = 270,995.40 × 133,078.80
  4. Step 4: Simplify right side
    180,836.40x = 36,063,742,637.52
  5. Step 5: Solve for x
    x = 36,063,742,637.52/180,836.40
  6. Step 6: Final answer
    x = 199,427.45

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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.