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Finding the Fourth Proportional to 129,986.64, 194,992.76 and 54,069.60

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Solution

The fourth proportional to 129,986.64, 194,992.76 and 54,069.60 is: 81,109.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,986.64 : 194,992.76 = 54,069.60 : x
  2. Step 2: Convert to fraction form
    129,986.64/194,992.76 = 54,069.60/x
  3. Step 3: Cross multiply
    129,986.64x = 194,992.76 × 54,069.60
  4. Step 4: Simplify right side
    129,986.64x = 10,543,180,536.10
  5. Step 5: Solve for x
    x = 10,543,180,536.10/129,986.64
  6. Step 6: Final answer
    x = 81,109.72

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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.