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Finding the Fourth Proportional to 146,143.70, 219,215.55 and 137,978.90

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Solution

The fourth proportional to 146,143.70, 219,215.55 and 137,978.90 is: 206,968.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,143.70 : 219,215.55 = 137,978.90 : x
  2. Step 2: Convert to fraction form
    146,143.70/219,215.55 = 137,978.90/x
  3. Step 3: Cross multiply
    146,143.70x = 219,215.55 × 137,978.90
  4. Step 4: Simplify right side
    146,143.70x = 30,247,120,451.90
  5. Step 5: Solve for x
    x = 30,247,120,451.90/146,143.70
  6. Step 6: Final answer
    x = 206,968.35

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Similar ratio
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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.