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Finding the Fourth Proportional to 149,477, 206,278.26 and 82,413.32

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Solution

The fourth proportional to 149,477, 206,278.26 and 82,413.32 is: 113,730.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,477 : 206,278.26 = 82,413.32 : x
  2. Step 2: Convert to fraction form
    149,477/206,278.26 = 82,413.32/x
  3. Step 3: Cross multiply
    149,477x = 206,278.26 × 82,413.32
  4. Step 4: Simplify right side
    149,477x = 17,000,076,250.42
  5. Step 5: Solve for x
    x = 17,000,076,250.42/149,477
  6. Step 6: Final answer
    x = 113,730.38

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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.