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Finding the Fourth Proportional to 218,072.80, 327,125.40 and 77,813.20

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Solution

The fourth proportional to 218,072.80, 327,125.40 and 77,813.20 is: 116,725.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,072.80 : 327,125.40 = 77,813.20 : x
  2. Step 2: Convert to fraction form
    218,072.80/327,125.40 = 77,813.20/x
  3. Step 3: Cross multiply
    218,072.80x = 327,125.40 × 77,813.20
  4. Step 4: Simplify right side
    218,072.80x = 25,454,674,175.28
  5. Step 5: Solve for x
    x = 25,454,674,175.28/218,072.80
  6. Step 6: Final answer
    x = 116,725.58

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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.