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Finding the Fourth Proportional to 220,680, 331,020.81 and 54,468

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Solution

The fourth proportional to 220,680, 331,020.81 and 54,468 is: 81,702.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,680 : 331,020.81 = 54,468 : x
  2. Step 2: Convert to fraction form
    220,680/331,020.81 = 54,468/x
  3. Step 3: Cross multiply
    220,680x = 331,020.81 × 54,468
  4. Step 4: Simplify right side
    220,680x = 18,030,041,479.08
  5. Step 5: Solve for x
    x = 18,030,041,479.08/220,680
  6. Step 6: Final answer
    x = 81,702.20

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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.