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Finding the Fourth Proportional to 271,917.68, 407,875.50 and 66,753.16

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Solution

The fourth proportional to 271,917.68, 407,875.50 and 66,753.16 is: 100,129.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,917.68 : 407,875.50 = 66,753.16 : x
  2. Step 2: Convert to fraction form
    271,917.68/407,875.50 = 66,753.16/x
  3. Step 3: Cross multiply
    271,917.68x = 407,875.50 × 66,753.16
  4. Step 4: Simplify right side
    271,917.68x = 27,226,979,786.19
  5. Step 5: Solve for x
    x = 27,226,979,786.19/271,917.68
  6. Step 6: Final answer
    x = 100,129.49

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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.