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Finding the Fourth Proportional to 224,138.86, 309,311.73 and 127,342.88

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Solution

The fourth proportional to 224,138.86, 309,311.73 and 127,342.88 is: 175,733.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,138.86 : 309,311.73 = 127,342.88 : x
  2. Step 2: Convert to fraction form
    224,138.86/309,311.73 = 127,342.88/x
  3. Step 3: Cross multiply
    224,138.86x = 309,311.73 × 127,342.88
  4. Step 4: Simplify right side
    224,138.86x = 39,388,644,969.42
  5. Step 5: Solve for x
    x = 39,388,644,969.42/224,138.86
  6. Step 6: Final answer
    x = 175,733.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.