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Finding the Fourth Proportional to 131,414.60, 197,121.90 and 75,427.40

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Solution

The fourth proportional to 131,414.60, 197,121.90 and 75,427.40 is: 113,141.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,414.60 : 197,121.90 = 75,427.40 : x
  2. Step 2: Convert to fraction form
    131,414.60/197,121.90 = 75,427.40/x
  3. Step 3: Cross multiply
    131,414.60x = 197,121.90 × 75,427.40
  4. Step 4: Simplify right side
    131,414.60x = 14,868,392,400.06
  5. Step 5: Solve for x
    x = 14,868,392,400.06/131,414.60
  6. Step 6: Final answer
    x = 113,141.10

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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.