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Finding the Fourth Proportional to 253,467.82, 349,780.30 and 138,743.65

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Solution

The fourth proportional to 253,467.82, 349,780.30 and 138,743.65 is: 191,463.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,467.82 : 349,780.30 = 138,743.65 : x
  2. Step 2: Convert to fraction form
    253,467.82/349,780.30 = 138,743.65/x
  3. Step 3: Cross multiply
    253,467.82x = 349,780.30 × 138,743.65
  4. Step 4: Simplify right side
    253,467.82x = 48,529,795,520.10
  5. Step 5: Solve for x
    x = 48,529,795,520.10/253,467.82
  6. Step 6: Final answer
    x = 191,463.34

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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.