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Finding the Fourth Proportional to 218,415.68, 327,607.52 and 85,270.72

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Solution

The fourth proportional to 218,415.68, 327,607.52 and 85,270.72 is: 127,899.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,415.68 : 327,607.52 = 85,270.72 : x
  2. Step 2: Convert to fraction form
    218,415.68/327,607.52 = 85,270.72/x
  3. Step 3: Cross multiply
    218,415.68x = 327,607.52 × 85,270.72
  4. Step 4: Simplify right side
    218,415.68x = 27,935,329,107.81
  5. Step 5: Solve for x
    x = 27,935,329,107.81/218,415.68
  6. Step 6: Final answer
    x = 127,899.83

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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.