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Finding the Fourth Proportional to 131,423.60, 197,135.40 and 81,819.20

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Solution

The fourth proportional to 131,423.60, 197,135.40 and 81,819.20 is: 122,728.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,423.60 : 197,135.40 = 81,819.20 : x
  2. Step 2: Convert to fraction form
    131,423.60/197,135.40 = 81,819.20/x
  3. Step 3: Cross multiply
    131,423.60x = 197,135.40 × 81,819.20
  4. Step 4: Simplify right side
    131,423.60x = 16,129,460,719.68
  5. Step 5: Solve for x
    x = 16,129,460,719.68/131,423.60
  6. Step 6: Final answer
    x = 122,728.80

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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.