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Finding the Fourth Proportional to 253,608.75, 349,977.56 and 137,321.66

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Solution

The fourth proportional to 253,608.75, 349,977.56 and 137,321.66 is: 189,502.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,608.75 : 349,977.56 = 137,321.66 : x
  2. Step 2: Convert to fraction form
    253,608.75/349,977.56 = 137,321.66/x
  3. Step 3: Cross multiply
    253,608.75x = 349,977.56 × 137,321.66
  4. Step 4: Simplify right side
    253,608.75x = 48,059,499,690.29
  5. Step 5: Solve for x
    x = 48,059,499,690.29/253,608.75
  6. Step 6: Final answer
    x = 189,502.53

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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.