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Finding the Fourth Proportional to 180,220.84, 270,348.54 and 80,377

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Solution

The fourth proportional to 180,220.84, 270,348.54 and 80,377 is: 120,573.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,220.84 : 270,348.54 = 80,377 : x
  2. Step 2: Convert to fraction form
    180,220.84/270,348.54 = 80,377/x
  3. Step 3: Cross multiply
    180,220.84x = 270,348.54 × 80,377
  4. Step 4: Simplify right side
    180,220.84x = 21,729,804,599.58
  5. Step 5: Solve for x
    x = 21,729,804,599.58/180,220.84
  6. Step 6: Final answer
    x = 120,573.21

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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.