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Finding the Fourth Proportional to 129,259.63, 193,947.11 and 66,046.48

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Solution

The fourth proportional to 129,259.63, 193,947.11 and 66,046.48 is: 99,099.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,259.63 : 193,947.11 = 66,046.48 : x
  2. Step 2: Convert to fraction form
    129,259.63/193,947.11 = 66,046.48/x
  3. Step 3: Cross multiply
    129,259.63x = 193,947.11 × 66,046.48
  4. Step 4: Simplify right side
    129,259.63x = 12,809,523,601.92
  5. Step 5: Solve for x
    x = 12,809,523,601.92/129,259.63
  6. Step 6: Final answer
    x = 99,099.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.