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Finding the Fourth Proportional to 149,413.84, 206,190.28 and 82,341.84

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Solution

The fourth proportional to 149,413.84, 206,190.28 and 82,341.84 is: 113,631.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,413.84 : 206,190.28 = 82,341.84 : x
  2. Step 2: Convert to fraction form
    149,413.84/206,190.28 = 82,341.84/x
  3. Step 3: Cross multiply
    149,413.84x = 206,190.28 × 82,341.84
  4. Step 4: Simplify right side
    149,413.84x = 16,978,087,045.32
  5. Step 5: Solve for x
    x = 16,978,087,045.32/149,413.84
  6. Step 6: Final answer
    x = 113,631.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.