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Finding the Fourth Proportional to 140,990.66, 194,568.61 and 76,460.02

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Solution

The fourth proportional to 140,990.66, 194,568.61 and 76,460.02 is: 105,515.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,990.66 : 194,568.61 = 76,460.02 : x
  2. Step 2: Convert to fraction form
    140,990.66/194,568.61 = 76,460.02/x
  3. Step 3: Cross multiply
    140,990.66x = 194,568.61 × 76,460.02
  4. Step 4: Simplify right side
    140,990.66x = 14,876,719,811.97
  5. Step 5: Solve for x
    x = 14,876,719,811.97/140,990.66
  6. Step 6: Final answer
    x = 105,515.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.