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Finding the Fourth Proportional to 83,633.80, 115,362.15 and 49,618.20

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Solution

The fourth proportional to 83,633.80, 115,362.15 and 49,618.20 is: 68,441.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,633.80 : 115,362.15 = 49,618.20 : x
  2. Step 2: Convert to fraction form
    83,633.80/115,362.15 = 49,618.20/x
  3. Step 3: Cross multiply
    83,633.80x = 115,362.15 × 49,618.20
  4. Step 4: Simplify right side
    83,633.80x = 5,724,062,231.13
  5. Step 5: Solve for x
    x = 5,724,062,231.13/83,633.80
  6. Step 6: Final answer
    x = 68,441.97

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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.