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Finding the Fourth Proportional to 201,773.80, 278,314.50 and 126,191.08

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Solution

The fourth proportional to 201,773.80, 278,314.50 and 126,191.08 is: 174,060.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,773.80 : 278,314.50 = 126,191.08 : x
  2. Step 2: Convert to fraction form
    201,773.80/278,314.50 = 126,191.08/x
  3. Step 3: Cross multiply
    201,773.80x = 278,314.50 × 126,191.08
  4. Step 4: Simplify right side
    201,773.80x = 35,120,807,334.66
  5. Step 5: Solve for x
    x = 35,120,807,334.66/201,773.80
  6. Step 6: Final answer
    x = 174,060.30

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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.