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Finding the Fourth Proportional to 144,105, 216,158.46 and 45,609

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Solution

The fourth proportional to 144,105, 216,158.46 and 45,609 is: 68,413.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,105 : 216,158.46 = 45,609 : x
  2. Step 2: Convert to fraction form
    144,105/216,158.46 = 45,609/x
  3. Step 3: Cross multiply
    144,105x = 216,158.46 × 45,609
  4. Step 4: Simplify right side
    144,105x = 9,858,771,202.14
  5. Step 5: Solve for x
    x = 9,858,771,202.14/144,105
  6. Step 6: Final answer
    x = 68,413.80

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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.