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Finding the Fourth Proportional to 272,706.75, 409,058.98 and 83,166.55

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Solution

The fourth proportional to 272,706.75, 409,058.98 and 83,166.55 is: 124,749.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,706.75 : 409,058.98 = 83,166.55 : x
  2. Step 2: Convert to fraction form
    272,706.75/409,058.98 = 83,166.55/x
  3. Step 3: Cross multiply
    272,706.75x = 409,058.98 × 83,166.55
  4. Step 4: Simplify right side
    272,706.75x = 34,020,022,882.56
  5. Step 5: Solve for x
    x = 34,020,022,882.56/272,706.75
  6. Step 6: Final answer
    x = 124,749.47

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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.