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Finding the Fourth Proportional to 274,693.64, 412,104.72 and 85,144.08

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Solution

The fourth proportional to 274,693.64, 412,104.72 and 85,144.08 is: 127,736.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,693.64 : 412,104.72 = 85,144.08 : x
  2. Step 2: Convert to fraction form
    274,693.64/412,104.72 = 85,144.08/x
  3. Step 3: Cross multiply
    274,693.64x = 412,104.72 × 85,144.08
  4. Step 4: Simplify right side
    274,693.64x = 35,088,277,248.06
  5. Step 5: Solve for x
    x = 35,088,277,248.06/274,693.64
  6. Step 6: Final answer
    x = 127,736.04

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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.