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Finding the Fourth Proportional to 144,942.60, 217,413.90 and 102,952.20

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Solution

The fourth proportional to 144,942.60, 217,413.90 and 102,952.20 is: 154,428.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,942.60 : 217,413.90 = 102,952.20 : x
  2. Step 2: Convert to fraction form
    144,942.60/217,413.90 = 102,952.20/x
  3. Step 3: Cross multiply
    144,942.60x = 217,413.90 × 102,952.20
  4. Step 4: Simplify right side
    144,942.60x = 22,383,239,315.58
  5. Step 5: Solve for x
    x = 22,383,239,315.58/144,942.60
  6. Step 6: Final answer
    x = 154,428.30

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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.