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Finding the Fourth Proportional to 253,037.32, 349,185.44 and 138,310.84

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Solution

The fourth proportional to 253,037.32, 349,185.44 and 138,310.84 is: 190,865.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,037.32 : 349,185.44 = 138,310.84 : x
  2. Step 2: Convert to fraction form
    253,037.32/349,185.44 = 138,310.84/x
  3. Step 3: Cross multiply
    253,037.32x = 349,185.44 × 138,310.84
  4. Step 4: Simplify right side
    253,037.32x = 48,296,131,522.17
  5. Step 5: Solve for x
    x = 48,296,131,522.17/253,037.32
  6. Step 6: Final answer
    x = 190,865.65

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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.