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Finding the Fourth Proportional to 83,629, 115,403.84 and 49,638.96

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Solution

The fourth proportional to 83,629, 115,403.84 and 49,638.96 is: 68,499.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,629 : 115,403.84 = 49,638.96 : x
  2. Step 2: Convert to fraction form
    83,629/115,403.84 = 49,638.96/x
  3. Step 3: Cross multiply
    83,629x = 115,403.84 × 49,638.96
  4. Step 4: Simplify right side
    83,629x = 5,728,526,597.61
  5. Step 5: Solve for x
    x = 5,728,526,597.61/83,629
  6. Step 6: Final answer
    x = 68,499.28

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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.