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Finding the Fourth Proportional to 83,887.67, 115,763.74 and 49,912.63

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Solution

The fourth proportional to 83,887.67, 115,763.74 and 49,912.63 is: 68,878.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,887.67 : 115,763.74 = 49,912.63 : x
  2. Step 2: Convert to fraction form
    83,887.67/115,763.74 = 49,912.63/x
  3. Step 3: Cross multiply
    83,887.67x = 115,763.74 × 49,912.63
  4. Step 4: Simplify right side
    83,887.67x = 5,778,072,307.85
  5. Step 5: Solve for x
    x = 5,778,072,307.85/83,887.67
  6. Step 6: Final answer
    x = 68,878.68

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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.