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Finding the Fourth Proportional to 180,581.40, 270,915.84 and 54,221.40

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Solution

The fourth proportional to 180,581.40, 270,915.84 and 54,221.40 is: 81,345.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,581.40 : 270,915.84 = 54,221.40 : x
  2. Step 2: Convert to fraction form
    180,581.40/270,915.84 = 54,221.40/x
  3. Step 3: Cross multiply
    180,581.40x = 270,915.84 × 54,221.40
  4. Step 4: Simplify right side
    180,581.40x = 14,689,436,126.98
  5. Step 5: Solve for x
    x = 14,689,436,126.98/180,581.40
  6. Step 6: Final answer
    x = 81,345.23

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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.