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Finding the Fourth Proportional to 247,705.76, 371,701.64 and 133,853.96

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Solution

The fourth proportional to 247,705.76, 371,701.64 and 133,853.96 is: 200,858.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,705.76 : 371,701.64 = 133,853.96 : x
  2. Step 2: Convert to fraction form
    247,705.76/371,701.64 = 133,853.96/x
  3. Step 3: Cross multiply
    247,705.76x = 371,701.64 × 133,853.96
  4. Step 4: Simplify right side
    247,705.76x = 49,753,733,924.72
  5. Step 5: Solve for x
    x = 49,753,733,924.72/247,705.76
  6. Step 6: Final answer
    x = 200,858.21

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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.