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Finding the Fourth Proportional to 103,413.32, 155,120.78 and 56,640.68

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Solution

The fourth proportional to 103,413.32, 155,120.78 and 56,640.68 is: 84,961.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,413.32 : 155,120.78 = 56,640.68 : x
  2. Step 2: Convert to fraction form
    103,413.32/155,120.78 = 56,640.68/x
  3. Step 3: Cross multiply
    103,413.32x = 155,120.78 × 56,640.68
  4. Step 4: Simplify right side
    103,413.32x = 8,786,146,461.33
  5. Step 5: Solve for x
    x = 8,786,146,461.33/103,413.32
  6. Step 6: Final answer
    x = 84,961.46

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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.