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Finding the Fourth Proportional to 133,078.60, 199,617.90 and 83,474.20

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Solution

The fourth proportional to 133,078.60, 199,617.90 and 83,474.20 is: 125,211.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,078.60 : 199,617.90 = 83,474.20 : x
  2. Step 2: Convert to fraction form
    133,078.60/199,617.90 = 83,474.20/x
  3. Step 3: Cross multiply
    133,078.60x = 199,617.90 × 83,474.20
  4. Step 4: Simplify right side
    133,078.60x = 16,662,944,508.18
  5. Step 5: Solve for x
    x = 16,662,944,508.18/133,078.60
  6. Step 6: Final answer
    x = 125,211.30

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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.