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Finding the Fourth Proportional to 131,460.60, 196,964.10 and 61,195.80

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Solution

The fourth proportional to 131,460.60, 196,964.10 and 61,195.80 is: 91,688.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,460.60 : 196,964.10 = 61,195.80 : x
  2. Step 2: Convert to fraction form
    131,460.60/196,964.10 = 61,195.80/x
  3. Step 3: Cross multiply
    131,460.60x = 196,964.10 × 61,195.80
  4. Step 4: Simplify right side
    131,460.60x = 12,053,375,670.78
  5. Step 5: Solve for x
    x = 12,053,375,670.78/131,460.60
  6. Step 6: Final answer
    x = 91,688.12

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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.