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Finding the Fourth Proportional to 83,840.38, 115,659.07 and 49,824.79

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Solution

The fourth proportional to 83,840.38, 115,659.07 and 49,824.79 is: 68,734.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,840.38 : 115,659.07 = 49,824.79 : x
  2. Step 2: Convert to fraction form
    83,840.38/115,659.07 = 49,824.79/x
  3. Step 3: Cross multiply
    83,840.38x = 115,659.07 × 49,824.79
  4. Step 4: Simplify right side
    83,840.38x = 5,762,688,460.64
  5. Step 5: Solve for x
    x = 5,762,688,460.64/83,840.38
  6. Step 6: Final answer
    x = 68,734.05

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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.