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Finding the Fourth Proportional to 218,527.72, 327,826.06 and 78,283.24

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Solution

The fourth proportional to 218,527.72, 327,826.06 and 78,283.24 is: 117,437.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,527.72 : 327,826.06 = 78,283.24 : x
  2. Step 2: Convert to fraction form
    218,527.72/327,826.06 = 78,283.24/x
  3. Step 3: Cross multiply
    218,527.72x = 327,826.06 × 78,283.24
  4. Step 4: Simplify right side
    218,527.72x = 25,663,286,133.23
  5. Step 5: Solve for x
    x = 25,663,286,133.23/218,527.72
  6. Step 6: Final answer
    x = 117,437.21

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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.