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Finding the Fourth Proportional to 228,413.80, 342,620.70 and 102,005.20

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Solution

The fourth proportional to 228,413.80, 342,620.70 and 102,005.20 is: 153,007.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,413.80 : 342,620.70 = 102,005.20 : x
  2. Step 2: Convert to fraction form
    228,413.80/342,620.70 = 102,005.20/x
  3. Step 3: Cross multiply
    228,413.80x = 342,620.70 × 102,005.20
  4. Step 4: Simplify right side
    228,413.80x = 34,949,093,027.64
  5. Step 5: Solve for x
    x = 34,949,093,027.64/228,413.80
  6. Step 6: Final answer
    x = 153,007.80

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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.