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Finding the Fourth Proportional to 272,701.49, 409,114.19 and 83,178.80

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Solution

The fourth proportional to 272,701.49, 409,114.19 and 83,178.80 is: 124,787.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,701.49 : 409,114.19 = 83,178.80 : x
  2. Step 2: Convert to fraction form
    272,701.49/409,114.19 = 83,178.80/x
  3. Step 3: Cross multiply
    272,701.49x = 409,114.19 × 83,178.80
  4. Step 4: Simplify right side
    272,701.49x = 34,029,627,083.73
  5. Step 5: Solve for x
    x = 34,029,627,083.73/272,701.49
  6. Step 6: Final answer
    x = 124,787.10

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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.