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Finding the Fourth Proportional to 83,622.94, 115,381.36 and 49,642.63

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Solution

The fourth proportional to 83,622.94, 115,381.36 and 49,642.63 is: 68,495.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,622.94 : 115,381.36 = 49,642.63 : x
  2. Step 2: Convert to fraction form
    83,622.94/115,381.36 = 49,642.63/x
  3. Step 3: Cross multiply
    83,622.94x = 115,381.36 × 49,642.63
  4. Step 4: Simplify right side
    83,622.94x = 5,727,834,163.38
  5. Step 5: Solve for x
    x = 5,727,834,163.38/83,622.94
  6. Step 6: Final answer
    x = 68,495.97

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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.