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Finding the Fourth Proportional to 228,790.27, 315,741.13 and 126,817.92

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Solution

The fourth proportional to 228,790.27, 315,741.13 and 126,817.92 is: 175,014.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,790.27 : 315,741.13 = 126,817.92 : x
  2. Step 2: Convert to fraction form
    228,790.27/315,741.13 = 126,817.92/x
  3. Step 3: Cross multiply
    228,790.27x = 315,741.13 × 126,817.92
  4. Step 4: Simplify right side
    228,790.27x = 40,041,633,365.05
  5. Step 5: Solve for x
    x = 40,041,633,365.05/228,790.27
  6. Step 6: Final answer
    x = 175,014.58

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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.