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Finding the Fourth Proportional to 271,772.70, 407,464.65 and 121,890.30

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Solution

The fourth proportional to 271,772.70, 407,464.65 and 121,890.30 is: 182,748.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,772.70 : 407,464.65 = 121,890.30 : x
  2. Step 2: Convert to fraction form
    271,772.70/407,464.65 = 121,890.30/x
  3. Step 3: Cross multiply
    271,772.70x = 407,464.65 × 121,890.30
  4. Step 4: Simplify right side
    271,772.70x = 49,665,988,427.90
  5. Step 5: Solve for x
    x = 49,665,988,427.90/271,772.70
  6. Step 6: Final answer
    x = 182,748.26

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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.