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Finding the Fourth Proportional to 140,500, 193,912.89 and 104,440.93

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Solution

The fourth proportional to 140,500, 193,912.89 and 104,440.93 is: 144,145.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,500 : 193,912.89 = 104,440.93 : x
  2. Step 2: Convert to fraction form
    140,500/193,912.89 = 104,440.93/x
  3. Step 3: Cross multiply
    140,500x = 193,912.89 × 104,440.93
  4. Step 4: Simplify right side
    140,500x = 20,252,442,570.59
  5. Step 5: Solve for x
    x = 20,252,442,570.59/140,500
  6. Step 6: Final answer
    x = 144,145.50

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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.