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Finding the Fourth Proportional to 146,115.20, 218,735.40 and 137,464.40

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Solution

The fourth proportional to 146,115.20, 218,735.40 and 137,464.40 is: 205,785.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,115.20 : 218,735.40 = 137,464.40 : x
  2. Step 2: Convert to fraction form
    146,115.20/218,735.40 = 137,464.40/x
  3. Step 3: Cross multiply
    146,115.20x = 218,735.40 × 137,464.40
  4. Step 4: Simplify right side
    146,115.20x = 30,068,330,519.76
  5. Step 5: Solve for x
    x = 30,068,330,519.76/146,115.20
  6. Step 6: Final answer
    x = 205,785.10

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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.