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Finding the Fourth Proportional to 218,969.09, 328,602.68 and 78,741.89

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Solution

The fourth proportional to 218,969.09, 328,602.68 and 78,741.89 is: 118,166.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,969.09 : 328,602.68 = 78,741.89 : x
  2. Step 2: Convert to fraction form
    218,969.09/328,602.68 = 78,741.89/x
  3. Step 3: Cross multiply
    218,969.09x = 328,602.68 × 78,741.89
  4. Step 4: Simplify right side
    218,969.09x = 25,874,795,688.56
  5. Step 5: Solve for x
    x = 25,874,795,688.56/218,969.09
  6. Step 6: Final answer
    x = 118,166.43

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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.