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Finding the Fourth Proportional to 253,456.14, 349,754.52 and 138,712.15

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Solution

The fourth proportional to 253,456.14, 349,754.52 and 138,712.15 is: 191,414.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,456.14 : 349,754.52 = 138,712.15 : x
  2. Step 2: Convert to fraction form
    253,456.14/349,754.52 = 138,712.15/x
  3. Step 3: Cross multiply
    253,456.14x = 349,754.52 × 138,712.15
  4. Step 4: Simplify right side
    253,456.14x = 48,515,201,441.42
  5. Step 5: Solve for x
    x = 48,515,201,441.42/253,456.14
  6. Step 6: Final answer
    x = 191,414.58

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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.