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Finding the Fourth Proportional to 83,657.32, 115,396.39 and 49,643.40

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Solution

The fourth proportional to 83,657.32, 115,396.39 and 49,643.40 is: 68,477.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,657.32 : 115,396.39 = 49,643.40 : x
  2. Step 2: Convert to fraction form
    83,657.32/115,396.39 = 49,643.40/x
  3. Step 3: Cross multiply
    83,657.32x = 115,396.39 × 49,643.40
  4. Step 4: Simplify right side
    83,657.32x = 5,728,669,147.33
  5. Step 5: Solve for x
    x = 5,728,669,147.33/83,657.32
  6. Step 6: Final answer
    x = 68,477.80

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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.