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Finding the Fourth Proportional to 273,069.36, 409,624.56 and 86,076

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Solution

The fourth proportional to 273,069.36, 409,624.56 and 86,076 is: 129,120.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,069.36 : 409,624.56 = 86,076 : x
  2. Step 2: Convert to fraction form
    273,069.36/409,624.56 = 86,076/x
  3. Step 3: Cross multiply
    273,069.36x = 409,624.56 × 86,076
  4. Step 4: Simplify right side
    273,069.36x = 35,258,843,626.56
  5. Step 5: Solve for x
    x = 35,258,843,626.56/273,069.36
  6. Step 6: Final answer
    x = 129,120.47

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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.