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Finding the Fourth Proportional to 129,673.67, 194,463.70 and 54,799.60

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Solution

The fourth proportional to 129,673.67, 194,463.70 and 54,799.60 is: 82,179.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,673.67 : 194,463.70 = 54,799.60 : x
  2. Step 2: Convert to fraction form
    129,673.67/194,463.70 = 54,799.60/x
  3. Step 3: Cross multiply
    129,673.67x = 194,463.70 × 54,799.60
  4. Step 4: Simplify right side
    129,673.67x = 10,656,533,024.23
  5. Step 5: Solve for x
    x = 10,656,533,024.23/129,673.67
  6. Step 6: Final answer
    x = 82,179.62

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1.5x scale

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.