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Finding the Fourth Proportional to 218,482.16, 327,721.08 and 100,119.92

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Solution

The fourth proportional to 218,482.16, 327,721.08 and 100,119.92 is: 150,178.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,482.16 : 327,721.08 = 100,119.92 : x
  2. Step 2: Convert to fraction form
    218,482.16/327,721.08 = 100,119.92/x
  3. Step 3: Cross multiply
    218,482.16x = 327,721.08 × 100,119.92
  4. Step 4: Simplify right side
    218,482.16x = 32,811,408,311.91
  5. Step 5: Solve for x
    x = 32,811,408,311.91/218,482.16
  6. Step 6: Final answer
    x = 150,178.89

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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.