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Finding the Fourth Proportional to 274,274.75, 411,451.48 and 84,751.67

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Solution

The fourth proportional to 274,274.75, 411,451.48 and 84,751.67 is: 127,139.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,274.75 : 411,451.48 = 84,751.67 : x
  2. Step 2: Convert to fraction form
    274,274.75/411,451.48 = 84,751.67/x
  3. Step 3: Cross multiply
    274,274.75x = 411,451.48 × 84,751.67
  4. Step 4: Simplify right side
    274,274.75x = 34,871,200,053.97
  5. Step 5: Solve for x
    x = 34,871,200,053.97/274,274.75
  6. Step 6: Final answer
    x = 127,139.67

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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.