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Finding the Fourth Proportional to 272,760.57, 409,202.78 and 83,237.85

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Solution

The fourth proportional to 272,760.57, 409,202.78 and 83,237.85 is: 124,875.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,760.57 : 409,202.78 = 83,237.85 : x
  2. Step 2: Convert to fraction form
    272,760.57/409,202.78 = 83,237.85/x
  3. Step 3: Cross multiply
    272,760.57x = 409,202.78 × 83,237.85
  4. Step 4: Simplify right side
    272,760.57x = 34,061,159,205.03
  5. Step 5: Solve for x
    x = 34,061,159,205.03/272,760.57
  6. Step 6: Final answer
    x = 124,875.67

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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.