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Finding the Fourth Proportional to 180,123.05, 270,228.89 and 126,918.94

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Solution

The fourth proportional to 180,123.05, 270,228.89 and 126,918.94 is: 190,409.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,123.05 : 270,228.89 = 126,918.94 : x
  2. Step 2: Convert to fraction form
    180,123.05/270,228.89 = 126,918.94/x
  3. Step 3: Cross multiply
    180,123.05x = 270,228.89 × 126,918.94
  4. Step 4: Simplify right side
    180,123.05x = 34,297,164,276.18
  5. Step 5: Solve for x
    x = 34,297,164,276.18/180,123.05
  6. Step 6: Final answer
    x = 190,409.64

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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.