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Finding the Fourth Proportional to 273,153.92, 409,730.92 and 86,180

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Solution

The fourth proportional to 273,153.92, 409,730.92 and 86,180 is: 129,270.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,153.92 : 409,730.92 = 86,180 : x
  2. Step 2: Convert to fraction form
    273,153.92/409,730.92 = 86,180/x
  3. Step 3: Cross multiply
    273,153.92x = 409,730.92 × 86,180
  4. Step 4: Simplify right side
    273,153.92x = 35,310,610,685.60
  5. Step 5: Solve for x
    x = 35,310,610,685.60/273,153.92
  6. Step 6: Final answer
    x = 129,270.01

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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.