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Finding the Fourth Proportional to 271,891.59, 407,216.14 and 129,836.37

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Solution

The fourth proportional to 271,891.59, 407,216.14 and 129,836.37 is: 194,457.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,891.59 : 407,216.14 = 129,836.37 : x
  2. Step 2: Convert to fraction form
    271,891.59/407,216.14 = 129,836.37/x
  3. Step 3: Cross multiply
    271,891.59x = 407,216.14 × 129,836.37
  4. Step 4: Simplify right side
    271,891.59x = 52,871,465,423.01
  5. Step 5: Solve for x
    x = 52,871,465,423.01/271,891.59
  6. Step 6: Final answer
    x = 194,457.89

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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.