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Finding the Fourth Proportional to 272,709.13, 409,108.01 and 80,603.05

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Solution

The fourth proportional to 272,709.13, 409,108.01 and 80,603.05 is: 120,917.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,709.13 : 409,108.01 = 80,603.05 : x
  2. Step 2: Convert to fraction form
    272,709.13/409,108.01 = 80,603.05/x
  3. Step 3: Cross multiply
    272,709.13x = 409,108.01 × 80,603.05
  4. Step 4: Simplify right side
    272,709.13x = 32,975,353,385.43
  5. Step 5: Solve for x
    x = 32,975,353,385.43/272,709.13
  6. Step 6: Final answer
    x = 120,917.67

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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.