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Finding the Fourth Proportional to 228,322.59, 315,211.86 and 137,701.61

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Solution

The fourth proportional to 228,322.59, 315,211.86 and 137,701.61 is: 190,104.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,322.59 : 315,211.86 = 137,701.61 : x
  2. Step 2: Convert to fraction form
    228,322.59/315,211.86 = 137,701.61/x
  3. Step 3: Cross multiply
    228,322.59x = 315,211.86 × 137,701.61
  4. Step 4: Simplify right side
    228,322.59x = 43,405,180,613.09
  5. Step 5: Solve for x
    x = 43,405,180,613.09/228,322.59
  6. Step 6: Final answer
    x = 190,104.63

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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.