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Finding the Fourth Proportional to 137,439.60, 206,159.40 and 82,143.60

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Solution

The fourth proportional to 137,439.60, 206,159.40 and 82,143.60 is: 123,215.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,439.60 : 206,159.40 = 82,143.60 : x
  2. Step 2: Convert to fraction form
    137,439.60/206,159.40 = 82,143.60/x
  3. Step 3: Cross multiply
    137,439.60x = 206,159.40 × 82,143.60
  4. Step 4: Simplify right side
    137,439.60x = 16,934,675,289.84
  5. Step 5: Solve for x
    x = 16,934,675,289.84/137,439.60
  6. Step 6: Final answer
    x = 123,215.40

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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.