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Finding the Fourth Proportional to 146,138.60, 218,819.10 and 93,261.80

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Solution

The fourth proportional to 146,138.60, 218,819.10 and 93,261.80 is: 139,644.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,138.60 : 218,819.10 = 93,261.80 : x
  2. Step 2: Convert to fraction form
    146,138.60/218,819.10 = 93,261.80/x
  3. Step 3: Cross multiply
    146,138.60x = 218,819.10 × 93,261.80
  4. Step 4: Simplify right side
    146,138.60x = 20,407,463,140.38
  5. Step 5: Solve for x
    x = 20,407,463,140.38/146,138.60
  6. Step 6: Final answer
    x = 139,644.58

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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.