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Finding the Fourth Proportional to 83,617.53, 115,384.50 and 49,620.17

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Solution

The fourth proportional to 83,617.53, 115,384.50 and 49,620.17 is: 68,471.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,617.53 : 115,384.50 = 49,620.17 : x
  2. Step 2: Convert to fraction form
    83,617.53/115,384.50 = 49,620.17/x
  3. Step 3: Cross multiply
    83,617.53x = 115,384.50 × 49,620.17
  4. Step 4: Simplify right side
    83,617.53x = 5,725,397,928.44
  5. Step 5: Solve for x
    x = 5,725,397,928.44/83,617.53
  6. Step 6: Final answer
    x = 68,471.26

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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.