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Finding the Fourth Proportional to 273,151.92, 409,727.91 and 86,178

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Solution

The fourth proportional to 273,151.92, 409,727.91 and 86,178 is: 129,267.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,151.92 : 409,727.91 = 86,178 : x
  2. Step 2: Convert to fraction form
    273,151.92/409,727.91 = 86,178/x
  3. Step 3: Cross multiply
    273,151.92x = 409,727.91 × 86,178
  4. Step 4: Simplify right side
    273,151.92x = 35,309,531,827.98
  5. Step 5: Solve for x
    x = 35,309,531,827.98/273,151.92
  6. Step 6: Final answer
    x = 129,267.01

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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.