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Finding the Fourth Proportional to 218,725.82, 328,077.80 and 85,630.48

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Solution

The fourth proportional to 218,725.82, 328,077.80 and 85,630.48 is: 128,441.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,725.82 : 328,077.80 = 85,630.48 : x
  2. Step 2: Convert to fraction form
    218,725.82/328,077.80 = 85,630.48/x
  3. Step 3: Cross multiply
    218,725.82x = 328,077.80 × 85,630.48
  4. Step 4: Simplify right side
    218,725.82x = 28,093,459,491.34
  5. Step 5: Solve for x
    x = 28,093,459,491.34/218,725.82
  6. Step 6: Final answer
    x = 128,441.44

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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.