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Finding the Fourth Proportional to 274,642.64, 412,022.73 and 85,098.80

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Solution

The fourth proportional to 274,642.64, 412,022.73 and 85,098.80 is: 127,666.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,642.64 : 412,022.73 = 85,098.80 : x
  2. Step 2: Convert to fraction form
    274,642.64/412,022.73 = 85,098.80/x
  3. Step 3: Cross multiply
    274,642.64x = 412,022.73 × 85,098.80
  4. Step 4: Simplify right side
    274,642.64x = 35,062,639,895.72
  5. Step 5: Solve for x
    x = 35,062,639,895.72/274,642.64
  6. Step 6: Final answer
    x = 127,666.41

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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.