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Finding the Fourth Proportional to 271,876.01, 407,192.78 and 129,820.77

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Solution

The fourth proportional to 271,876.01, 407,192.78 and 129,820.77 is: 194,434.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,876.01 : 407,192.78 = 129,820.77 : x
  2. Step 2: Convert to fraction form
    271,876.01/407,192.78 = 129,820.77/x
  3. Step 3: Cross multiply
    271,876.01x = 407,192.78 × 129,820.77
  4. Step 4: Simplify right side
    271,876.01x = 52,862,080,562.59
  5. Step 5: Solve for x
    x = 52,862,080,562.59/271,876.01
  6. Step 6: Final answer
    x = 194,434.52

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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.