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Finding the Fourth Proportional to 268,957.87, 371,147.16 and 148,076.20

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Solution

The fourth proportional to 268,957.87, 371,147.16 and 148,076.20 is: 204,337.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,957.87 : 371,147.16 = 148,076.20 : x
  2. Step 2: Convert to fraction form
    268,957.87/371,147.16 = 148,076.20/x
  3. Step 3: Cross multiply
    268,957.87x = 371,147.16 × 148,076.20
  4. Step 4: Simplify right side
    268,957.87x = 54,958,062,112.81
  5. Step 5: Solve for x
    x = 54,958,062,112.81/268,957.87
  6. Step 6: Final answer
    x = 204,337.07

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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.