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Finding the Fourth Proportional to 273,152.42, 409,728.66 and 86,178.50

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Solution

The fourth proportional to 273,152.42, 409,728.66 and 86,178.50 is: 129,267.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,152.42 : 409,728.66 = 86,178.50 : x
  2. Step 2: Convert to fraction form
    273,152.42/409,728.66 = 86,178.50/x
  3. Step 3: Cross multiply
    273,152.42x = 409,728.66 × 86,178.50
  4. Step 4: Simplify right side
    273,152.42x = 35,309,801,325.81
  5. Step 5: Solve for x
    x = 35,309,801,325.81/273,152.42
  6. Step 6: Final answer
    x = 129,267.76

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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.