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Finding the Fourth Proportional to 203,491.92, 305,251.32 and 70,385.04

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Solution

The fourth proportional to 203,491.92, 305,251.32 and 70,385.04 is: 105,582.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,491.92 : 305,251.32 = 70,385.04 : x
  2. Step 2: Convert to fraction form
    203,491.92/305,251.32 = 70,385.04/x
  3. Step 3: Cross multiply
    203,491.92x = 305,251.32 × 70,385.04
  4. Step 4: Simplify right side
    203,491.92x = 21,485,126,368.25
  5. Step 5: Solve for x
    x = 21,485,126,368.25/203,491.92
  6. Step 6: Final answer
    x = 105,582.21

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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.