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Finding the Fourth Proportional to 126,278, 189,481.84 and 63,950.16

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Solution

The fourth proportional to 126,278, 189,481.84 and 63,950.16 is: 95,958.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,278 : 189,481.84 = 63,950.16 : x
  2. Step 2: Convert to fraction form
    126,278/189,481.84 = 63,950.16/x
  3. Step 3: Cross multiply
    126,278x = 189,481.84 × 63,950.16
  4. Step 4: Simplify right side
    126,278x = 12,117,393,985.09
  5. Step 5: Solve for x
    x = 12,117,393,985.09/126,278
  6. Step 6: Final answer
    x = 95,958.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.