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Finding the Fourth Proportional to 99,809.21, 137,734.53 and 54,485.46

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Solution

The fourth proportional to 99,809.21, 137,734.53 and 54,485.46 is: 75,188.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,809.21 : 137,734.53 = 54,485.46 : x
  2. Step 2: Convert to fraction form
    99,809.21/137,734.53 = 54,485.46/x
  3. Step 3: Cross multiply
    99,809.21x = 137,734.53 × 54,485.46
  4. Step 4: Simplify right side
    99,809.21x = 7,504,529,020.61
  5. Step 5: Solve for x
    x = 7,504,529,020.61/99,809.21
  6. Step 6: Final answer
    x = 75,188.74

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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.