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Finding the Fourth Proportional to 144,871.40, 217,234.20 and 85,725.20

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Solution

The fourth proportional to 144,871.40, 217,234.20 and 85,725.20 is: 128,544.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,871.40 : 217,234.20 = 85,725.20 : x
  2. Step 2: Convert to fraction form
    144,871.40/217,234.20 = 85,725.20/x
  3. Step 3: Cross multiply
    144,871.40x = 217,234.20 × 85,725.20
  4. Step 4: Simplify right side
    144,871.40x = 18,622,445,241.84
  5. Step 5: Solve for x
    x = 18,622,445,241.84/144,871.40
  6. Step 6: Final answer
    x = 128,544.66

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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.