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Finding the Fourth Proportional to 253,375.31, 349,657.90 and 138,653.97

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Solution

The fourth proportional to 253,375.31, 349,657.90 and 138,653.97 is: 191,342.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,375.31 : 349,657.90 = 138,653.97 : x
  2. Step 2: Convert to fraction form
    253,375.31/349,657.90 = 138,653.97/x
  3. Step 3: Cross multiply
    253,375.31x = 349,657.90 × 138,653.97
  4. Step 4: Simplify right side
    253,375.31x = 48,481,455,630.23
  5. Step 5: Solve for x
    x = 48,481,455,630.23/253,375.31
  6. Step 6: Final answer
    x = 191,342.47

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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.