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Finding the Fourth Proportional to 146,546.40, 220,078.80 and 113,347.20

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Solution

The fourth proportional to 146,546.40, 220,078.80 and 113,347.20 is: 170,221.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,546.40 : 220,078.80 = 113,347.20 : x
  2. Step 2: Convert to fraction form
    146,546.40/220,078.80 = 113,347.20/x
  3. Step 3: Cross multiply
    146,546.40x = 220,078.80 × 113,347.20
  4. Step 4: Simplify right side
    146,546.40x = 24,945,315,759.36
  5. Step 5: Solve for x
    x = 24,945,315,759.36/146,546.40
  6. Step 6: Final answer
    x = 170,221.28

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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.