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Finding the Fourth Proportional to 146,743.40, 220,115.10 and 123,415.40

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Solution

The fourth proportional to 146,743.40, 220,115.10 and 123,415.40 is: 185,123.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,743.40 : 220,115.10 = 123,415.40 : x
  2. Step 2: Convert to fraction form
    146,743.40/220,115.10 = 123,415.40/x
  3. Step 3: Cross multiply
    146,743.40x = 220,115.10 × 123,415.40
  4. Step 4: Simplify right side
    146,743.40x = 27,165,593,112.54
  5. Step 5: Solve for x
    x = 27,165,593,112.54/146,743.40
  6. Step 6: Final answer
    x = 185,123.10

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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.