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Finding the Fourth Proportional to 102,942.40, 154,413.60 and 43,763.20

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Solution

The fourth proportional to 102,942.40, 154,413.60 and 43,763.20 is: 65,644.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,942.40 : 154,413.60 = 43,763.20 : x
  2. Step 2: Convert to fraction form
    102,942.40/154,413.60 = 43,763.20/x
  3. Step 3: Cross multiply
    102,942.40x = 154,413.60 × 43,763.20
  4. Step 4: Simplify right side
    102,942.40x = 6,757,633,259.52
  5. Step 5: Solve for x
    x = 6,757,633,259.52/102,942.40
  6. Step 6: Final answer
    x = 65,644.80

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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.