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Finding the Fourth Proportional to 274,040, 378,126.80 and 153,142.64

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Solution

The fourth proportional to 274,040, 378,126.80 and 153,142.64 is: 211,309.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,040 : 378,126.80 = 153,142.64 : x
  2. Step 2: Convert to fraction form
    274,040/378,126.80 = 153,142.64/x
  3. Step 3: Cross multiply
    274,040x = 378,126.80 × 153,142.64
  4. Step 4: Simplify right side
    274,040x = 57,907,336,406.75
  5. Step 5: Solve for x
    x = 57,907,336,406.75/274,040
  6. Step 6: Final answer
    x = 211,309.80

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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.