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Finding the Fourth Proportional to 146,942.60, 220,413.90 and 76,843.40

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Solution

The fourth proportional to 146,942.60, 220,413.90 and 76,843.40 is: 115,265.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,942.60 : 220,413.90 = 76,843.40 : x
  2. Step 2: Convert to fraction form
    146,942.60/220,413.90 = 76,843.40/x
  3. Step 3: Cross multiply
    146,942.60x = 220,413.90 × 76,843.40
  4. Step 4: Simplify right side
    146,942.60x = 16,937,353,483.26
  5. Step 5: Solve for x
    x = 16,937,353,483.26/146,942.60
  6. Step 6: Final answer
    x = 115,265.10

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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.