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Finding the Fourth Proportional to 102,942.60, 154,413.90 and 36,384.90

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Solution

The fourth proportional to 102,942.60, 154,413.90 and 36,384.90 is: 54,577.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,942.60 : 154,413.90 = 36,384.90 : x
  2. Step 2: Convert to fraction form
    102,942.60/154,413.90 = 36,384.90/x
  3. Step 3: Cross multiply
    102,942.60x = 154,413.90 × 36,384.90
  4. Step 4: Simplify right side
    102,942.60x = 5,618,334,310.11
  5. Step 5: Solve for x
    x = 5,618,334,310.11/102,942.60
  6. Step 6: Final answer
    x = 54,577.35

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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.