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Finding the Fourth Proportional to 218,806.96, 328,213 and 61,025.76

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Solution

The fourth proportional to 218,806.96, 328,213 and 61,025.76 is: 91,539.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,806.96 : 328,213 = 61,025.76 : x
  2. Step 2: Convert to fraction form
    218,806.96/328,213 = 61,025.76/x
  3. Step 3: Cross multiply
    218,806.96x = 328,213 × 61,025.76
  4. Step 4: Simplify right side
    218,806.96x = 20,029,447,766.88
  5. Step 5: Solve for x
    x = 20,029,447,766.88/218,806.96
  6. Step 6: Final answer
    x = 91,539.35

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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.