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Finding the Fourth Proportional to 192,470.40, 288,122.40 and 145,425.60

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Solution

The fourth proportional to 192,470.40, 288,122.40 and 145,425.60 is: 217,697.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,470.40 : 288,122.40 = 145,425.60 : x
  2. Step 2: Convert to fraction form
    192,470.40/288,122.40 = 145,425.60/x
  3. Step 3: Cross multiply
    192,470.40x = 288,122.40 × 145,425.60
  4. Step 4: Simplify right side
    192,470.40x = 41,900,372,893.44
  5. Step 5: Solve for x
    x = 41,900,372,893.44/192,470.40
  6. Step 6: Final answer
    x = 217,697.75

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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.